Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 106, Issue 1, pp 39–51

Asymptotic behaviour of certain zero-balanced hypergeometric series

Authors

  • Anand Kumar Srivastava
    • Department of Mathematics and AstronomyLucknow University
Article

DOI: 10.1007/BF02837185

Cite this article as:
Srivastava, A.K. Proc. Indian Acad. Sci. (Math. Sci.) (1996) 106: 39. doi:10.1007/BF02837185

Abstract

In this paper an attempt has been made to give a very simple method of extending certain results of Ramanujan, Evans and Stanton on obtaining the asymptotic behaviour of a class of zero-balanced hypergeometric series. A more recent result of Saigo and Srivastava has also been used to obtain a Ramanujan type of result for a partial sum of a zero-balanced4F3 (1) and similar other partial series of higher order.

Keywords

Asymptotic behaviour zero-balanced hypergeometric series Kampé de Feriet function

Copyright information

© Indian Academy of Sciences 1996