• Asymptotic behaviour of certain zero-balanced hypergeometric series

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      https://www.ias.ac.in/article/fulltext/pmsc/106/01/0039-0051

    • Keywords

       

      Asymptotic behaviour; zero-balanced hypergeometric series; Kampé de Feriet function

    • 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.

    • Author Affiliations

       

      Anand Kumar Srivastava1

      1. Department of Mathematics and Astronomy, Lucknow University, Lucknow - 226 007, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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