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Asymptotic behaviour of certain zero-balanced hypergeometric series

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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.

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Authors and Affiliations

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

    Anand Kumar Srivastava

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  1. Anand Kumar Srivastava
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Srivastava, A.K. Asymptotic behaviour of certain zero-balanced hypergeometric series. Proc. Indian Acad. Sci. (Math. Sci.) 106, 39–51 (1996). https://doi.org/10.1007/BF02837185

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  • DOI: https://doi.org/10.1007/BF02837185

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