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DEPARTMENT OF
MATHEMATICS
DEPARTMENT OF MATHEMATICS
FACULTY OF SCIENCE
A PROFILE
UNIVERSITY OF JAMMU
JAMMU-180 006
Tel. 0191-2452888, 2435248
Ext. 2545(HOD), Ext. 2544(OFFICE)
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF JAMMU
INTRODUCTION
The Department of Mathematics was started in 1966 with a Master’s
Degree Programme in Mathematics. Initially, the faculty strength was 3
only but in 1968 another faculty member with Complex Analysis as
specialization and doctorate from IIT,
initiated the
joined the department and
research programme in Complex Analysis. Later, in
seventies two more people with specializations in modern branches of
Mathematics viz. Functional Analysis and Algebraic Topology, and with
doctorates from US, joined the department and then the department
pursued its research programme in three sub-areas of mathematics.
Later in eighties people with specializations in Algebra, Geometry,
Complex Analysis and Functional Analysis joined the department and
thereby making the faculty strength 12.
Now the department has a strong faculty with their doctorates from
US, IIT, AMU, University of Jammu, and TIFR(Mumbai). The
department carries research in the areas of
Algebra, Algebraic
Topology, Algebraic Geometry, Complex Analysis,
and Functional
Analysis. The faculty members of the department have reasonably
good research exposure and have their publications in the indexed
national and international Journals of
good impact factor, and
participate in mathematical activities at international level by
participating in international conferences/ workshops/ seminars and
by establishing international collaborations with mathematicians from
Austria, Canada, Finland, France, Germany, Japan, Spain, US, and
UK..
The department is quite active and is there on the international map of
mathematics The publication track of each faculty member (at page …)
speaks about the quality work carried out by them. In the field of
teaching, the department has too established itself at national level as
the department has produced 16 NET/JRF students.
To create mathematical awareness in this part of the country and to give
a necessary exposure to our researchers, in 1990 the Jammu
Mathematical
Society
was
formed.
It
organizes
national
and
international conferences/seminars/ workshops in collaboration with
other national and international Mathematical Societies. We have been
organizing annual conferences of the Jammu math. Soc. regularly since
its inception.
For college and school students of this region, the society organizes
mathematical competitions and one day students conference annually.
On the basis of academic excellence of the department, the National
Board for Higher mathematics (Department of Atomic Energy, Govt. of
India) gives Rs. 5 lac per anum as library grant particularly to purchase
books and back volumes of research journals. This has led the
department
to
have
a
very
good
departmental
library.
Besides annual library grant, NBHM provides scholarships, fellowships
and travel grants to the students, scholars and faculty members of the
department. A Computer Laboratory with internet facility has been
established out of the funds given by UGC. Besides the academic
achievements, the department has an honour to give educational
administrators to the University system like Vice-Chancellor, Controller
of Examinations, Dean of the faculty,
members of the University
Council and Syndicate, Presidents of Academic Societies and members
of National Societies. Thus the department has been marching ahead
in the direction of academic excellence and is committed to keep its
march on as the excellence is a direction, not a destination.
The departmental profile is prepared to present the
salient facts and achievements of the department to
develop an intimate familiarity with the department.
OBJECTIVES, AIMS AND FUTURE
PLANNING OF THE DEPARTMENT
The main objective of the department is to provide the quality
education in mathematics in this part of the country so as to
bring the department at the international map of mathematics.
Though we have been successful to some extent in achieving
the excellence both in teaching and research but still we need
to cover a long distance as there is no end to excellence.
The department aims to convert it into a Centre of Advanced
Studies in Mathematics. A few steps have already been taken
in this direction. For instance to cater to the needs of
technology and hence industry the department has now
floated a proposal to start a Master’s Degree Programme in
Applied Mathematics. The department has also initiated a
process of bringing out a high quality refereed Mathematics
Journal
with
Editorial
Board
comprising
mathematicians both from India and abroad.
eminent
Preliminary deliberations in this direction have already been
made. The department has also intiated the process of
forming a separate faculty viz. Faculty of Mathematical
Sciences
which will include Mathematics, Statistics and
Computer sciences. After introducing the Master’s Degree
Programme in Applied Mathematics, the department will move
to get itself converted into ‘The School Mathematics’ with
some other programmes in it.
Prof. S.D. Sharma
Head of the Department
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF JAMMU
A PROFILE
Year of Establishment:
Programmes of Study:
 M.A./M.Sc. with intake
 M.Phil.,
with intake
 Ph.D.
1966.
50
10
Faculty Positions:
12
 Professor
5
 Associate Professor
2
 Assistant Professor
5
Present
A.
Faculty
with
Specializations:
Professors:

Dr. S.D.Sharma--------
Analytic Function
Theory / Operator
Theory.

Dr. A.P. Singh ----------
Complex Analysis /
Complex Dynamics.
Dr. B.S. Komal ---------
Functional Analysis/
Operator Theory.
Dr. C.L. Wangneo ---------
Algebra / Ring
Theory.
Dr. D.S. Jamwal------------
Algebraic Topology/
Fuzzy Topology.
B. Associate Professors
 Dr. Romesh Kumar-------
Complex Analysis /
Operator Theory.
 Dr. Abdul Khaliq---------
Applied Maths /
Variational Inequalities.
C. Asstt. Professors
 Dr. K.S. Charak------------
Complex Analysis /
Bicomplex Dynamics.
 Dr. Chanchal Kumar------
Algebraic Geometry.
 Dr. Shallu Sharma---------
Functional Analysis /
Operator Theory.
M.Phil. / Ph.D. Awarded
 M.Phil.
203
 Ph.D.
58 (Details at page …)
RESEARCH PUBLICATIONS
 Research Papers(2004-2008)
51,
Total
= 309
All in Indexed / Impact Factor Journals (Details at page
… )
 Research Monograph = 1
(North Holland Publ. Co. Netherlands)
=
HONOURS AND AWARDS TO FACULTY
MEMBERS
 Fullbright Faculty Fellowship:
 Indo-German Fellowship:
 Commonwealth Fellowship:
 Royal Society Fellowship:
 National Associateship:
 Visiting Prefessorship Abroad:
R.K.Singh
Satya Deo
A.P.Singh,
J.S.Manhas,
Romesh Kumar
Romesh Kumar
R.K.Singh,
Satya Deo
R.K.Singh
 Member on Committees
of NBHM and UGC:
 Rashtriya Gaurav Award:
 Vijay Rattan Award:
 Post Doctoral Fellowship:
(R.O.C. Taiwan)
 Post Doctoral Fellowship:
(Univ. Joensuu, Finland)
R.K.Singh
A.P.Singh
S.D.Sharma,
B.S.Komal
Abdul Khaliq
K.S.Charak

Young Scientist Award:
(DST, J&K)
J.S.Manhas,
Romesh Kumar

Best Paper Presentation Awards:
(i) Ramanujan Award(RMS):
K.S.Charak.
(ii) Bharat Ganita
Parishad Award:
K.S.Charak,
Chanchal Kumar
INTERNATIONAL RESEARCH COLLABORATIONS
1.
A.P.Singh:

Complex Dynamics
•
•
•
•
•
I.N. Baker, Imperial College London.
F. Peterstorfer, Johannes Kepler Instt., Linz,
Austria.
W. Bergweiler, University of Keil. Germany.
M. Taniguchi, Kyoto University, Japan.
Y. Wang, Chinese Acad. of sciences, China.
2.
Romesh Kumar:

Weighted composition operators on Hardy,
Bergman and Orlicz spaces
•
•
•
•
•
J.R. Partington, Univ. of Leeds, U.K.
H. Hudzik, Adam Mickiewicz Univ. Poznan,
Poland.
Y. Cui, Univ. of Harbin, China.
L. Maligranda, Univ. of Sci. & Tech. Luela,
Sweden.
G.H. Erajee, Shiraz Univ. Iran.
3. Abdul Khaliq

On Variational
Inequalities
and
generalized
variational
•
S .Y. Wu, National Ching Kung University,
Taiwan
•
A.H. Siddiqi, KFUPM, Saudi Arabia.
4. K.S. Charak

Factorization of meromorphic functions, Normal
Families and Bicomplex Dynamics
•
Ilpo Laine, University of Joensuu, Finland.
•
Jarkko Rieppo, University of Joensuu,
Finland.
•
Dominic Rochon, Universite du Quebec,
Canada.
RESEARCH PROJECTS — FUNDED BY UGC AND
NBHM
 Completed:
Major= 5,
 On Going:
Major=1
Minor=10
NBHM/UGC GRANTS
 Annual Library Grant:
Rs. 5 lacs
 Annual Post Graduate
Scholarships:
Rs. 57,600.
 UGC for establishment
of Computer Lab:
Rs. 15 Lacs.
FOREIGN VISITS BY FACULTY MEMBERS
FOR ACADEMIC WORKS
A. Present Faculty Members
 A.P. Singh:
Armenia, Austria, China, UK,
Germany, Japan, Russia, Turky,
Taiwan, USA.
 S.D. Sharma:
USA, S. Korea
 C.L. Wangneo:
USA
 D.S. Jamwal:
Greece
 Romesh Kumar:
Poland, Spain, UK,
Thailand.
 Abdul Khaliq:
Iran, Italy, Taiwan
 K.S.Charak:
Canada, Finland
 Chanchal Kumar:
Italy.
B. Past Faculty Members
 M.R. Puri:
England, USA
 J.S. Gupta:
Italy
 R.K Singh:
USA
 Satya Deo:
Canada, Germany, USA.
FOREIGN MATHEMATICIANS WHO VISITED THE
DEPARTMENT
 Prof. S. Adian:
Russia
 Prof. R. Alfonso:
Spain
 Prof. S. Al-Homidan
Saudi Arabia
 Prof. Z. Aslan
Turkey
 Prof. M. Boulbrachene
Oman
 Prof. Peter Blanksby:
Australia
 Prof. Aldrik Brown:
UK
 Prof. F. Fridli
Hungry
 Prof. K. Furati
Saudi Arabia
 Prof. D. Ghosal:
USA
 Prof. N. Govil
USA
 Prof. Narain Gupta:
Canada
 Dr. Hossein
Iran
 Prof. B. Jones:
USA
 Prof. R. Lozi
France
 Prof. S. Messaoudi
Saudi Arabia
 Prof. H. Mittleman
USA
 Prof. R. Mittleman
USA
 Prof. M. Rajagopalan:
USA
 Prof. S. Rehman
Saudi Arabia
 Prof. D. Rochon:
Canada
 Prof. Helga Schimer:
Canada
 Prof. F. Schipp
Hungry
 Prof. A.H. Siddiqi
Saudi Arabia
 Prof. Robert Silverman:
USA
 Prof. K.R. Srinivasan
Italy
 Prof. W.H. Summers:
USA
 Prof. M.L. Tickoo:
Canada
 Prof. K. Vardrajan:
Canada
EMINENT MATHEMATICIANS OF VARIOUS INDIAN
UNIVERSITIES WHO VISITED THE DEPARTMENT
 Prof. P.K. Agarwal:
Punjab Univ.
Chandigarh
 Prof. S.C. Arora:
Univ. of Delhi
 Prof. R. Bhatia:
ISI Delhi
 Prof. B. Choudhary:
Jadavpur Univ.
 Prof. G.S. Dani:
TIFR Mumbai
 Prof. H.P. Dikshit
R.D. Univ.
Jabalpur
 Prof. N.K. Gupta
IIT Delhi
 Prof. P.K. Jain:
Univ. of Delhi
 Prof. J.N. Kapoor:
IIT Kanpur
 Prof. G.P. Kapoor
IIT Kanpur
 Prof. Inderajit Lahiri:
Univ. of Kalyani
 Prof. V.V. Menon:
BHU
 Prof. R.S. Mishra:
BHU
 Prof. Gadadhar Mishra:
Indian Institute
of Sc. Bangalore
 Prof. M.G. Nadkarni:
Bombay Univ.
 Prof. S. Narayanan:
TIFR Mumbai
 Prof. G.S. Pandey:
Lucknow Univ.
 Prof. R.S. Pathak:
BHU
 Prof. V.D. Pathak:
MS Univ.
Baroda
 Prof. T.C. Panda
Behram Univ.
Orissa
 Prof. E. Sampathkumar:
Univ. of Mysore
 Prof. B.L. Sharma:
Univ. of
Allahabad
 Prof. U.N. Singh:
Univ. of Delhi
 Prof. Ajit Iqbal Singh:
Univ. of Delhi
 Prof. Dinesh Singh:
Univ. of Delhi
 Prof. Sitaramaya:
Univ. of
Hyderabad
 Prof. R.S.L. Srivastava:
IIT Kanpur
 Prof. G.S. Srivastava:
IIT Roorki
 Prof. V.S. Sunder:
MS Chennai
 Prof. U.B. Tiwari:
IIT Kanpur
 Prof. H.L. Vasudeva:
Punjab Univ.
 Prof. B.S.Yadav:
Univ. Delhi
PUBLICATIONS
OF THE FACULTY
MEMBERS
Prof. S.D. Sharma
1.
On composition operators acting between Besov spaces,
International J. Math. Anal. 3(2009), 133-143.
2.
Compact composition operators on Hardy Orlicz spaces,
Math. Vesnik, 60(2008), 215-225.
3.
Composition operators between Hardy and Bloch-type
spaces of the upper half plane, Bull. Korean Math. Soc.
43(2007), 475-482.
4.
Composition operators on weighted Bergman Orlicz
spaces, Bull. Australian Math. Soc. 75(2007), 273-287.
5.
Concrete operators on abstract functional Hilbert spaces,
International J. Math. Anal. 1(2007), 339-354.
6.
Weighted composition followed by differentiation between
Bergman spaces, International Math. Forum, 2(2007),
1647-1656.
7.
Riemann-Stieltjes operators between weighted Bloch and
weighted Bergman spaces, International J. Contemp.
Math. Sci. 2(2007), 759-772.
8.
Weighted composition operators between Bergman-type
spaces, Communications Korean Math. Soc. 21(2006),
465-474.
9.
Carleson measures in a vector-valued Bergman space, J.
Anal. Appl. 4(2006), 65-76.
10. Semigroups of composition operators on H(w), Math.
Today, XXI(2005), 3-16.
11. Composition operators on the weighted BergmanNevanlinna space, Proc. First Advanced Course in
Complex Analysis and Operator Theory, held at
Universidad de Sevilla(Spain)(2004), 123-132.
12. Invertible and isometric composition operators in vector-
valued Hardy spaces, Bull. Korean Math. Soc.,
41(2004),413-418.
13. Conjugation Theorem in operator-valued functional Hilbert
spaces, Indian J. Math., 45(2003), 325-332.
14. Composition operators on vector-valued Hardy spaces of
the upper half-plane, J. Anal. Appl., 1(2)(2003), 113-123.
15. A space of analytic functions with Montel property, Indian J.
Pure Appl. Math., 33(2002), 1409-1416.
16. On characterization of weighted composition operators on
non-locally convex weighted spaces of continuous
functions, Tamkang J. Math., 31(2)(2000), 1409-1416.
17. On sequences of composition operators, Scientia Iranica,
7(7)(2000), 5-8.
18. Compact composition operators and Carleson measure in
the upper half-plane, Extracta Math. 15(2000), 175-180.
19. Substitution operators with closed ranges and invariant
subspaces, Ganita 50(1999), 31-35.
20. Composition operators on vector-vslued Hardy spaces,
Extracta Math. 14(1999), 31-39.
21. Composition operators on Hardy spaces of the upper halfplane, Bull. Allahabad Math. Soc., 14(1999), 129-145.
22. A
semi-dynamical
system
induced
by
composition
operators, Indian J. Pure Appl. Math., 30(7)(1999), 715720.
23. Composition operators on Bergman-Orlicz type spaces,
Indian J. Math., 40(1998), 227-235.
24. Compact and Fredholm multiplication operators on a
sequence space, Far East J. Math. Sci. 4(3)(1997), 443451.
25. Dijointness preserving operators on C(X), Math. Today,
VI(1997), 51-54.
26. Substitution operators on some sequence spaces, Math.
Forum, X(1996), 9-15.
27. Substitution operators on Orlicz sequence spaces, Banyan
Math J., 3(1996), 7-16.
28. Convergence of sequencesof substitution operators on
H(w), J. Indian Math. Soc., 62(1996), 196-204.
29. On periodic functions in H2(π+), Univ. Timisosra Ser.
Stiint. Mat., 32(1994)111-113.
30. Inner functions and substitution operators, Acta Sci. Math.
58(1993), 505-512.
31. Substitution operators on generalized spaces of entire
functions, Math. Today, XI(1993), 21-26.
32. Compact composition operators on H2(Dn), Indian J. Math.
34(1992), 73-79.
33. Characterization of composition operators on function
spaces, J. Scientific Research, 41C(1991), 1-8.
34. Substitution operators on Hardy-Orlicz spaces, Proc. Nat.
Acad. Sci. India, 61(A), 535-541.
35. A motion in H2(π+), J. B. Math. Soc.13(1990), 1-4.
36. Idempotent composition operators and several complex
variables, Bull. Cal. Math. Soc. 82(1990), 13-15.
37. Translation invariant function spaces, Bull. Allahabad
Math. Soc. 3(1988), 1-10.
38. Compact and Hilbert-Schmidt composition operators on
Hardy spaces of the upper half-plane, Acta Sci.
Math.(Hungary), 46(1983),197-202.
39. Composition operators and several complex variables, Bull.
Austral. Math. Soc. 23(1981), 237-247.
40. Non-compact composition operators, Bull. Austral. Math.
Soc. 21(1980), 125-130.
41. Composition operators on a functional Hilbert space, Bull.
Austral. Math. Soc. 20(1979), 277-284.
Prof. A.P.Singh
1.
On semi-conjugation of entire functions, Bull. Pure Appl.
Math. 2(1)(2008), 25-29.
2.
An introduction to Complex Dynamics, Mathematics News
Letter, Ramanujan Math. Soc. (1)18(2008)15-26.
3.
Composite entire functions with no unbounded Fatou
component, J. Math. Anal.Appl.335(2007),907-914.
4.
On escaping sets of entire functions, Complex Dynamics
and its related fields, Ed. M. Shishikura, M. Kisaka,
Surikaisekikenyusho Kokyuroku, RIMS Proceeding No.
1494 (2006),24-33.
5.
Julia sets of permutable holomorphic maps, Science in
China Ser. A: Mathematics, (11)49(2006), 1715-1721.
6.
Escaping sets and wandering domains of composition of
entire functions, The Proceedings of the Ninth
Conference on real and Complex Analysis in
Hiroshima(2005), 114-123.
7.
Transcendental entire functions whose Julia set is the
Complex Plane, Complex Variables and Elliptic
Equations, (9), 52(2007), 797-805.
8.
Wandering domains of meromorphic functions, The Nepali
Math. Sc. Report (1) 24(2005)59-70.
9.
On the singularities of composition of entire functions,
Analysis in Theory and Applications, (4) 21(2005), 370-
376.
10. Fatou components in angular region, Proc. 12th
International Conference of Finite or Iinfinite
Dimensional Complex Analysis and Applications,
Kyushu Univ. Press (2005),319-329.
11. Sharing values and normality of meromorphic functions,
Complex variables, (6) 49(2004), 417-?.
12. Advances in the dynamics of entire and meromorphic
functions, Math. Student, (1-4) 73(2006), 61-72.
13. Some directions in Complex Dynamics, Math. Student, (14) 72(2005), 89-100.
14. On the dynamics of composition of entire functions, Math.
Proc. Camb. Phil. Soc. 134(2003), 129-138.
15. Dnamics of transcendental meromorphic functions, Finite or
Infinite Dimensional Complex Analysis: 7th International
Colloquium, Ed. E. Taft and Z. Nashed, Marcel Dekker
(2000), 479-494.
16. Unbounded components of the Fatou set, Complex
Variables, 41(2000), 133-144.
17. On factorization of meromorphic functions, Bull. Allahabad
math. Soc. 15(200), 9-15.
18. Complex Analytic Dynamics, Lecture Notes in
Mathematical Sciences, 6(1999), 56-61.
19. Some criteria for determining pseudo-primeness in divisor
sense, Proc. Nat. Acad. Sci. India 68(A)IV (1998), 365372.
20. Iterates of meromorphic functions: An Introduction,
Functional Analysis with current applications in Sci. Tech.
Industry, Ed. Martin Brokate, A.H. Siddiqi, Pitman
Research Notes, No. 377(1998), 207-219.
21. Some results on pseudo-primeness of meromorphic
functions, Bull. Cal. Math. Soc. 90(4) (1998), 223-228.
22. On factorization of meromorphic functions with finitely many
zeros, Tamkang J. Math. 29(2) (1998), 4 -11.
23. Factorization of certain classes of entire and meromorphic
functions, Indian J. Pure Appl. Math. 28(1) (1997), 81-93.
24. Meromorphic functions that share small functions, J.
Ramanujan Math. Soc. 11(1996), 73-84.
25. Meromorphic functions that share values by simple and
double zeros, Indian J. Pure Appl. Math. 26(7) (1995),
697-703.
26. Wandering domains in the iterations of composition of entire
functions, Ann. Acad. Sci. Fenn. 20(1995), 149-153.
27. A note on differential polynomials, Bull. Cal. Math. Soc.
87(1995), 63-66.
28. On order of differential polynomials, Proc. Nat. Acad. Sci.
India 64(A)III (1994), 365-372.
29. Comparative growth of composition of entire functions,
Indian J. Pure Appl. Math. 24(3) (1993),181-188.
30. On meromorphic functions satisfying certain functional
equations, Univ. Review(Fac. Sci.), Univ. Jammu
(1993),27-32.
31. Maximum term of composition of entire functions, Proc.
Nat. Acad. Sci. India 63(A)II (1993), 403-410.
32. On Differential polynomials, Bull. Cal. Math. Soc.
85(1993),171-176.
33. On deficiencies of differential polynomials, Proc. Indian
Acad. Sci.(Math. Sci.) 102(2) (1992), 129-139.
34. A note on Nevalinna characteristic function, Math. Student,
57(1-4) (1991), 157-160.
35. On maximum modulus and maximum term of composition
of entire functions, Indian J. Pure Appl. Math. 22(12)
(1991),1019-1026.
36. Relative defects of monomials, J. Indian Acad. Math. 12(1)
(1990), 53-63.
37. On exceptional values of entire functions and their
derivatives, Bull. Cal. Math. Soc. 82 (1990), 298-302.
38. Relative defects of meromorphic functions, Proc. Nat.
Acad. Sci. India 60(A)II (1990), 159-167.
39. A glimpse into Nevanlinna theory of meromorphic functions,
Math. Student 57 (1989), 59-67.
40. On equality of orders of two meromorphic functions,
Ramanujan International Symposium on Analysis,
MacMillan India, (1989), 337-345.
41. Some notes on differential polynomials, Proc. Nat. Acad.
India, 59(A)II (1989), 291-297.
42. On maximum term of composition of entire functions, Proc.
Nat. Acad. India, 59(A)I (1989), 103-115.
43. Relative defects of homogeneous differential polynomials,
Proc. Nat. Acad. India, 58(A)II (1988), 283-292.
44. On a class of slowly changing functions, Proc. Indian
Acad. Sci. (Math. Sci.), 98(1) (1988), 25-30.
45. Deficient values of differential polynomials, Math.
Chronicle, 15 (1987), 35-37.
46. Deficient values of meromorphic functions, J. Indian Acad.
Math. 8(1) (1986), 1-6.
47. Entire functions through Nevanlinna theory, Proc. VIII
Annual Conference of ISPS, (1986), 180-191.
48. On Borel exceptional values, Bull. Bombay Math.
Colloquium, 3(2) (1986), 49-52.
49. On order of homogeneous differential polynomials, Indian
J. Pure Appl. Math. 16(7) (1985), 791-795.
50. Growth of composite entire functions, Kodai Math. J. 8(1)
(1985), 99-102.
51. On Nevanlinna characteristic of homogeneous differential
polynomials and deficient values, J. Shivaji Univ. (Sci.)
22(1984-85), 231-239.
52. Analytic functions with continuous variables, J. Shivaji
Univ. (Sci.) 22(1984-85), 2531-256.
53. On relative defects of meromorphic functions, Ranchi
Univ. Math. J. 15(1984), 48-54.
54. Applications of Nevanlinna theory to differential equations,
Indian J. Pure Appl. Math. 14(10) (1983), 1228-1232.
55. Relative defects corresponding to the common roots to two
meromorphic functions, Kodai Math. J. 6(1983), 333-339.
56. A note on Painleve differential equation, Math. Student
5191983), 126-128.
57. On Nevanlinna characteristic function, Proc. Nat. Acad.
Sci. India 52(A)II (1982), 180-183.
58. A note on right factor of an entire function, Math. Student
50(1982), 181-183.
59. A note on exceptional Picard for simple and double zeros,
Math. Student 50(1982),272-274.
60. A note on exceptional value Picard for simple zeros, Progr.
Math. (Allahabad) (1-2) 15(1981), 9-11.
61. Relative defects of meromorphic functions, J. Indian Math.
Soc. 44(1980), 191-202.
62. On differential polynomials, Commentarii
Mathematici
Universitatis Sancti Pauli 29(2) (1980), 181-191.
Prof. B.S. Komal
1.
Multiplication operators induced by operator valued maps,
Int. J. Contemp. Math. Sci. 3(2008), 667-673.
2.
Operators of composition between Orlicz spaces, Aligarh
Bull. Math. 25(2006), 59-63.
3.
Numerical ranges of composition operators, Hokkaido
Math. J. 35(2006), 1-12.
4.
Multiplication operators between Orlicz spaces, Integral
Equations and Operator Theory 41(2001), 324-330.
5.
Invertible and compact weighted composition operators on
the space of continuousy differentiable functions, Indian J.
Math. 43(2001), 387-393.
6. Composition operators on Orlicz spaces, Indian J. Pure
Appl. Math. 32(7)(2000), 1117-1122.
7. Compact composition operators, Math. Appl. Industry and
Business, Narosa Pub. House New Delhi, (2000), 69 -76.
8. Composition operators on Hilbert space of entire functions,
Bull. Cal. Math. Soc. (2000)
9. Multiplication operators on weighted spaces of continuous
functions, Ganita, 50(1999), 27-30.
10. Weighted composition operators on space of entire functions,
Functional Analysis, Selected Topics Narosa Pub. House,
New Delhi (1998), 111-119,
11. Composite integral operators, Pitman Research Notes
377(1998).
12. Invertible composition operators on locally convex spaces of
entire functions, Functional Analysis Topics, Narosa Pub.
House New Delhi (1998), 119-127.
13. On operators of weighted substitution on generalized spaces
of entire functions II, Far East J. Math. Sci. (1998), 117-123.
14. Isometric and Fredholm weighted substitution operators on
the generalized spaces of entire functions, Far East J. Math.
(1998), 25-35.
15. Non-archemedian multiplication operators, Bull. Cal. Math.
Soc. 89(1997), 135-142.
16. On operators of weighted substitution on generalized space
of entire functions, Math. Today, XV(1997), 3-10.
17. A characterization of composition operators induced by
matrices,
Far East J. Math. Sci. 5(1997), 569-572.
18. Weighted substitution operators, Indian J. Math.
38(1996),67 - 72.
19. Compact multiplication operators on spaces of operators,
Allahabad Math. 10(1996), 73-77.
20. Composite multiplication operators on spaces of continuous
functions, Far East J. Math. 4(1) (1996), 9-13.
21. Weighted composition operators on a Hilbert spaces of
vector-valued sequences, Bull. Cal. Math. Soc. 88(1996),
269-278.
22. On operators of composition of generalized spaces of entire
functions, Math. Today, XIV(1996), 3-8.
23. Some characterizations of invertible Hilbert-Schmidt
weighted copmposition operators, Bull. Cal. Math. Soc.
87(1995), 215-220.
24. Invertible and compact operators on weighted spaces of
differentiable functions, Far East J. Math. 3(1995), 115-221.
25. Composition operators on the space of entire sequences
over non-Archemedian valued field, Bull. Cal. Math Soc.
87(1995), 335-338.
26. Invertible weighted substitution operators on the space of
entire sequences over non-Archemedian valued fields,
Banyan J. Math. 1(1994), 83-90.
27. Compact and invertible composition operators on l^p, 0<p<∞,
Banyan J. Math. 1(1994), 95-102.
28. Composition operators on the spaces of entire sequences,
Bull. Cal. Math. Soc. 87(1994), 5-10.
29. Composition operators on l^p, 0<p<∞, University Review
(1994), 41-48
30. Non-Archemedian multiplication operators and dynamical
systems on the spaces of entire sequences, Far East J.
Math. Sci. 2(1994), 1-8.
31. Operators on weighted spaces of infinitely differentiable
functions, Far East J. Math. Sci. 1(1993), 201-207.
32. Characterization of composition operators on function
spaces, J. Scientific Research 41(1991), 221-223.
33. Some results on multiplication operators induced by operator
valued maps, Bull. Cal. Math. Soc. 83(1991), 515-518.
34. Composition operators on space of operators, Indian J.
Math. 33(1991), 1-17.
35. On eigen values of composition operators, Indian J. Pure
Appl. Math. 22(1991), 37-43.
36. Composition operators on the space of entire functions,
Kodai Math. J. 14(1991), 463-469.
37. Invariant subspaces of composition operators on weighted
sequence spaces, Proc. Invariant Subspaces and allied
Topics, Narosa Publ. House, New Delhi, 1990.
38. A characterization of composition operators on the space of
entire sequences, Bull. Cal. Math. Soc. 82(1990), 519-526.
39. The spectra of quasinormal composition operators, Math.
Today 8(1990), 13-18.
40. Idempotent composition operators, The University Review
Special Volume (1989), 178-181.
41. Translation invariant function spaces, Bull. Allahabad Math.
Soc. 3(1988), 1-10.
42. Normal composition operators, Acta Scientarum Math.
45(1984), 445-448.
43. Centered and hyponormal composition operators, J. Indian
Math. Soc. 47(1983), 55-62.
44. Fredholm composition operators on weighted sequence
spaces, Indian J. Pure Appl. Math. 14(1983), 293-296.
45. Characterizations and invariant subspaces of composition
operators, Acta Scientarum Math. 46(1983), 283-286.
46. Quasinormal composition operators, Indian J. Pure Appl.
Math. 13(1982), 8-12.
47. A counterexample to a problem of Morrel, Math. Student
48(1980), 150-152.
48. Some results on composition operators on l^2, Int. J. Math.
Math. Sci. 2(1979), 29-32.
49. Composition operators, Bull. Austral. Math. Soc. 18(1978),
439-445.
50. Composition operators on l^p and its adjoint, Proc. Amer.
Math. Soc. 70(1978), 21-26.
Prof. C.L.Wanganeo
1.
A note on certain ore extensions, Bull. Cal. Math.
Soc.91(1999), 263 -266.
2.
The structure of some right Noetherian rings with Krull
dimension one, Proc. Amer. Math. Soc. 118(1993), 677 –
680.
3.
Polynomial rings over rings integral over their centres, Bull.
Austral. Math. Soc. 34(1986), 11-23.
4.
Polynomial rings over FBN rings, Algebra and its
applications (1981), 53-55, Lecture Notes in Pure and
Appl. Math. 91, Dekker, New York, 1984.
5.
Right Noetherian rings integral over their centers, Comm.
Algebra 7(1989), 1573 – 1598.
Prof. D.S.Jamwal
1.
Finitisticness of L-topological spaces under sum and
Lowen functor omega, Fuzzy logic and its applications in
Topology and management, Narosa Publishing House,
(2007), 32-37, Edited Volume containing the selected
papers from the conference FIATEM- 2004 held at IIT
Kharagpur.
2.
Paracompact and metacompact spaces in L-topology, Bull.
Pure Appld. Sciences, 26(2) (2007), ?
3.
On covering dimension of finitistic spaces in L-topology, J.
Fuzzy Math. 14(1) (2006), 207-222.
4.
On group topology and finitistic spaces, Bull. Pure Appld.
Sciences 24E(1) (2005), 123-132.
5.
Fuzzy
Ө-T2
spaces, Bull. Pure Appld. Sciences,
23E(1) (2004), 377-381.
6.
On covering dimensions of L-fuzzy subsets and Ltopological spaces, J. Fuzzy Math. 12(2) (2004), 331-339.
7.
Countably finitistic spaces are finitistic, Ganita 53(2) (2002),
151-157.
8.
Covering dimension and finitistic spaces in L-topology,
Proc. Of the conference on Fuzzy Set Theory and its
Mathematical Aspects and Applications, BHU, Varanasi,
(2002), ?
9.
Cohomology with exotic supports and the generalized-
excision, , J. Austral. Math. Soc. Ser. A, 45(1988), 326340.
10. Finitistic and locally finitistic spaces, Indian J. Math.
27(1985), 183-194.
11. Countable Sum Theorem for locally closed sets,
Austral. Math. Soc. 29(1984), 47-55.
Bull.
Dr. Romesh Kumar
1.
Composition operators on Orlicz-Lorentz spaces spaces,
Integral Equations and Operator Theory, 60 (2008), 79
– 88.
2.
Essential norm of weighted composition operator on the
Dirichlet space, Extracta Math. 21(3) (2006), 249-259.
3.
Weighted composition operators via Berezin transform and
Carleson measure, Commentationes Mathematicae,
XLVI (1) (2006) , 63- 78.
4.
Matrix Multiplication operators on Banach Function spaces,
Proc. Indian Acad. Sci. (Math. Sci.) 116(1)(2006), 71-81.
5.
Composition operators on Banach function spaces, Proc.
Amer. Math. Soc.133 (2005), 2109 – 2118.
6. On finite dimensional algebras generated by composition
operators on Orlicz sequence space with weight , Houston
J. Math., 31(4)(2005), 1135 – 1152.
7. Compact composition operators on Lorentz spaces,
Matematicki Vesnik , 57(2005), 109 –112.
8. Weighted composition operators on Hardy and Bergmann
spaces, Recent Advances in Operator Theory, Operator
Algebras, and their applications, Proc. XIXth International
Conference on Operator Theory (Timisoara), 2002,
Operator Theory: Advances and Applications, Vol. 153,
Birkhäuser (2004), 157-167.
9. Composition operators on Orlicz spaces, J. Austral. Math.
Soc., 76 (2004).
10. Substitution operators on some sequence spaces, Forum
Math. X (1996), 911. Compostion operators on L-1 spaces, Proceedings of
the Sixth Conference on Function Spaces, World
Scientific Publishers, 2003.
12. Carleson measure and compact composition operators on
Hardy spaces of upper-half plane, Extracta Math. Vol 15,
No. 1 (2000), 175-180.
13. Composition operators on Orlicz spaces, Integral Equations
and Operator Theory, 29 (1997), 17-22.
14. Weighted substitution operators on weighted spaces of
infinitely differentiable functions, Indian J. Math. Vol 38, No.
1 (1996), 67-72.
15. Convergence of sequences of substitution operators on
H(w), J. Indian Math. Soc., 62(1-4) (1996) 196-204.
16. Substitution operators on a space of infinitely differentiable
functions, Indian J. Pure App. Math., 26(5)(1995) 441-443.
17. Substitution operators on weighted spaces of infinitely
differentiable functions, Far East J. Math Sci, 1 (2) (1993)
201-207
18. Substitution operators on generalised spaces of entire
functions, Mathematics, Today XI (1993) 21-26.
19. Inner functions and subtitution operators, Acta Sci. Math
(Szeged) 58 (1993) 509-516.
20. Substitution operators on Hardy-Orlicz spaces, Proc. Nat.
Acad. Sci. (India), 71(A) IV (1991) 535-4
Dr. Abdul Khaliq
1.
Implicit vector quasi-equilibrium problems with applications to
variational inequalities, Proc. 4th World Congress of Nonlinear Analysts, Orlendo, USA, WENA 2004.
2.
Generalized implicit vector variational inequalities, SEA J.
Math. Math. Sci., 2(4) (2004), 33-44.
3.
On generalized vector quasi-equilibrium problems, Advances
Non-linear Variational Inequalities, 7(1) (2004), 47-57.
4.
Existence of solutions for generalized vector variational like
inequalities, SEA J. Math. Math. Sci., 2(1) (2003), 1-4.
5.
Generalized non-linear vector quasi-variational like
inequalities, Non-linear Analysis Forum, 8(1) (2003), 115126.
6.
Vector quasi-equilibrium problems, Bull. Austral. Math.
Soc.68(2003), 295-302.
7.
Generalized vector quasi-variational like inequalities,
Ganita, 22(2002), 63-71.
8.
On generalized vector quasi-variational inequalities in
Hausdorff topological vector spaces, Far East J. Math. Sci.
6(2) (2002), 137-148.
9.
Completely generalized non-linear variational like inclusion
with non-compact valued mappings, Non-linear Analysis
Forum, 7(2) (2002), 159-166.
10. On generalized vector equilibrium, Ganita, 19(1999), 69-83.
11. On
generalized
vector
variational
inequalities,
J.
Optimization Theory and Applications, 84(1995), 171181.
Dr. K.S.Charak
1.
Two normality criteria and the converse of the Bloch
Principle, J. Math. Anal. Appl. 353(2008), 43 - 48.
2.
Normal families of bicomplex holomorphic functions,
Fractals 2008(to appear).
3.
On factorization of bicomplex meromorphic functions,
Quaterionic and Clifford Analysis-Trends in
Mathematics, Birkhauser(Switzerland) (2008), 55- 68.
4.
On a class of prime entire functions, Acta Math. Sinica
2008 (to appear).
5.
Value distribution of meromorphic functions, Math. News
Letter, Ramanujan Math. Soc. 2008(to appear).
6.
Some remarks on factorization of entire algebroidal
functions, Southeast Asian Bull. Math. 32(2008), 411416.
7.
Factorization of some entire functions, Complex Variables,
Theory and Applications 43(2001), 251- 258.
8.
Some results on pseudo-primeness of meromorphic
functions, Bull. Cal. Math. Soc. 90(4) (1998), 223 - 228.
9.
On factorization of meromorphic functions with finitely many
zeros, Tamkang J. Math. 29(2) (1998), 4 - 11.
10. Factorization of certain classes of entire and meromorphic
functions, Indian J. Pure Appl. Math. 28(1) (1997), 81 - 93.
11. Meromorphic functions that share small functions, J.
Ramanujan Math. Soc. 11(1996), 73 - 84.
Dr. Chanchal Kumar
1. Linear systems and quotients of projective spaces, Bull.
London Math. Soc. 35(2003), 152 - 160.
2. Invariant vector bundles of rank 2 on hyperelliptic curves,
Michigan Math. J. 47(2000), 575 - 584.
Dr. Shallu Sharma
1. Numerical ranges of composition operators, Hokkaido Math.
J. 35(2006), 1-12.
DETAILS OF THE Ph.D’S. AWARDED
1.
Manjeet Singh
J.S. Gupta
2.
Shakhti Bala
--------------
3.
D.K. Bhola
--------------
4.
Ashok Kumar
R.K. Singh
5.
B.S. Komal
--------------
6.
S.D. Sharma
---------------
7.
Velluchamy
---------------
8.
R. David Kumar
---------------
9.
D.K. Gupta
---------------
10.
Dharam Adhikari
---------------
11.
Deomurari
---------------
12.
Jasbir Singh
---------------
13.
Bhopinder Singh
---------------
14 .
Romesh Kumar
R.K.Singh &
S.D.Sharma
15.
Rajeshwer Singh
R.K.Singh &
B.S.Komal
16.
Chander Shekher
---------------
17.
S. Muttepowar
Satya Deo
18.
Mohan Singh
--------------
19.
Ram Krishan
Satya Deo
20.
Dalip Singh
--------------
21.
Janak Singh
--------------
22.
Chander Shekher Vaid
--------------
23.
Surinder Singh
R. Tiwari
24.
Basant Ram
------------
25.
Durai Raju
------------
26.
M.S. Billoria
A.P. Singh
27.
Raj Shree Dhar
--------------
28.
K.S. Charak
--------------
29.
Jagdish Lal Sharma
--------------
30.
Rajesh Sharma
--------------
31.
Ajay Singh
--------------
32.
Tirath Kumar
B.S. Komal
33.
Sunil Gupta
--------------
34.
Nagesh Singh
--------------
35.
Nishchintak Sharma
--------------
36.
Shally Gupta
--------------
37.
Anupama Gupta
--------------
38.
Kuldeep Raj
--------------
39.
Vinay Khosla
--------------
40.
Sadna Tiwari
--------------
41.
Shallu Sharma
--------------
42.
Udhay Bhanu
S.D. Sharma
43.
Jagdish Raj
---------------
44.
Rekha Singh
---------------
45.
Ajay Kumar
---------------
46.
Shabir Ahmed
---------------
47.
Rekha Kumari
---------------
48.
Vijay Kumar Bhat
C.L. Wangneo
49.
Shakeel Ahmed
D.S. Jamwal
50.
Ashwani Kumar
---------------
51.
Sudershan Khajuria
J.P. Srivastava
52.
Prabha Sharma
---------------
53.
Rakesh Gupta
---------------
54.
55.
Rajiv Kumar
Kr. Jatinder Singh
Romesh Sharma
---------------
56.
Sonam Krishan
Ab. Khaliq
57.
Mohd Rashid
---------------
58.
Mohd Rouf
---------------
Ph. D. THESIS SUBMITTED
1. Kulwant Singh
2. Tejinder Kour
A.P.Singh
B.S.Komal
3. Sandeep Sharma
D.S.Jamwal
4. Sanjay Kumar
S.D.Sharma
5. Zaheer Abbas
S.D. Sharma
UPDATING OF SYLLABI
After every three years, the courses at M.A./M.Sc. and at
M.Phil. levels are revised and updated. Revision of the
syllabi in 2005 was significant in the sense that instead of
four papers in each semester, five papers were introduced
and
thus
the
students
pursuing
Master’s
Degree
Programme in mathematics have to qulify twenty papers of
four credits each instead of sixteen papers of four credits
each. Presently it is at par with any standard university of
the country and meets the requirements of the students at
international level.
LIBRARY FACILITIES
A reasonably good library having about 6 thousand books
and 29 research journals besides regular mathematical
news letters and updates.
SCIENTIFIC EQUIPMENTS
 Total PCs in the department:
20
 PCs with internet:
12
 Overhead Projector:
01
 LCD:
01
 Xerox Machines:
02
 Printers:
11
NET QUALIFIED STUDENTS:
1. Bhopinder Singh
2. Atul Kumar
3. Alka Gupta
4. Chanchal Kumar
5. Dinesh Khurana
6. Rajeev Kumar
7. Ajay Kumar
8. Zaher Abbas
16
9.
Pavinder Singh
10.
Ashok Kumar
11.
Ajay Sharma
12.
Narinder Sharma
13.
Rohini Sharma
14.
Ravinder Kumar
15.
Rajat Sharma
16.
Anshu Sharma
THANK YOU
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