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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.13 No.4

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Alternative Derivations of Certain Summation Formulas Contiguous to Dixon's Summation Theorem for a Hypergeometric 3F2 Series

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.4, pp.255-259
Choi, June-Sang
Rathie Arjun K.
Malani Shaloo
Mathur Rachana
Choi,, J. , Rathie, A. K. , Malani, S. , & Mathur, R. (2006). Alternative Derivations of Certain Summation Formulas Contiguous to Dixon's Summation Theorem for a Hypergeometric 3F2 Series. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(4), 255-259.

Abstract

In 1994, Lavoie et al. have obtained twenty tree interesting results closely related to the classical Dixon's theorem on the sum of a <TEX>$_3F_2$</TEX> by making a systematic use of some known relations among contiguous functions. We aim at showing that these results can be derived by using the same technique developed by Bailey with the help of Gauss's summation theorem and generalized Kummer's theorem obtained by Lavoie et al..

keywords
generalized hypergeometric series <tex> $_3F_2$</tex>, Dixon's theorem, Gauss's theorem, Kummer's theorem, generalized Kummer's theorem

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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