Email : mathuju@sancharnet.in

Teaching and Research Discipline:
Teaching:

Analysis, Algebra, Functional Analysis, Topology, C—Language,

Hypergeometric, Functions, Finite Element Method.

Research :

Lie-theory and Hypergeometric Functions.

Physiological Heat Flow Transfer.

Mathematical Modeling in Population and Community Ecology.

Total No. Of Publications:

International - 2

National - 12

Short Summary of Teaching and Research accomplished:

Besides Teaching above mentioned papers, Continued working on Generalized Hypergeometric functions with a classical as well as Lie- theoretic approach .In both the fields several apparently new identities and integrals including dual integrals were derived.The Lie theoretic structure of Fox’s H-function and Saxena’s l-functions were also discovered. In addition, I worked on mathematical modeling population and community Ecology. Four students have been awarded Ph.D. in above areas. Three more have been registered

List of 5 top Publications:

1. Renu Jain and Deepak Jain , Hypergeometric solution of temperature

distribution problems in human dermal regions, Ganita Sandesh, Vol 10,No. 1

June 1996,27-34.

2. Renu Jain and Deepak Jain, An exact solution to a temperature

distribution problems in human limb under extreme cold environmental

Condition, Journal of M.A.C.T. Vol.31 (1998).

3. Renu Jain ,O.P.Sharma and K.K.Sharma ,Stability analysis of the effect of

poaching on a three species interacting system with mutualism and

Competition, Proc. Of sixth Nat. Conf. On advances in Biomechanics Jan

1998,163-168.

4. Renu Jain and Deepak Jain, Saxena’s l-function and heat conduction in arod

under specific boundary condition, Jour. Ind. Acad. Math.(1995), Vol 19,No.

5. Renu Jain and Deepak Jain, Some integrals involving Kampe–de feriet series

and I-function ,Kyungpook mathematical journal, Vol 36,No. 1,(1996),53-62.