Asymptotic behaviour of certain zero-balanced hypergeometric series

  • Anand Kumar Srivastava
Article

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 

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Copyright information

© Indian Academy of Sciences 1996

Authors and Affiliations

  • Anand Kumar Srivastava
    • 1
  1. 1.Department of Mathematics and AstronomyLucknow UniversityLucknowIndia

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