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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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 $_3F_2$ SERIES

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2006, v.13 no.4, pp.255-259
Choi, June-Sang (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, DONGGUK UNIVERSITY)
Rathie Arjun K. (DEPARTMENT OF MATHEMATICS, GOVT. P. G. COLLEGE, SUJANGARH DISTT.)
Malani Shaloo (DEPARTMENT OF MATHEMATICS, GOVT. DUNGAR COLLEGE (BIKANER UNIVERSITY))
Mathur Rachana (DEPARTMENT OF MATHEMATICS, GOVT. DUNGAR COLLEGE (BIKANER UNIVERSITY))
Choi, June-Sang, Rathie Arjun K., Malani Shaloo, & Mathur Rachana. (2006). ALTERNATIVE DERIVATIONS OF CERTAIN SUMMATION FORMULAS CONTIGUOUS TO DIXON'S SUMMATION THEOREM FOR A HYPERGEOMETRIC <TEX>$_3F_2$</TEX> SERIES, 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 $_3F_2$ 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

한국수학교육학회지시리즈B:순수및응용수학

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