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ISSN : 1226-0657

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Vol.8 No.2
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CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2001, v.8 no.2, pp.127-135
Lee, Keum-Sik (Department of Mathematics, College of Natural Science, Pusan National University)
Cho, Young-Joon (Department of Mathematics, College of Natural Science, Pusan National University)
Choi, June-Sang (Department of Mathematics, College of natural Science, Dongguk University)
Lee, Keum-Sik, Cho, Young-Joon, & Choi, June-Sang. (2001). CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS. 한국수학교육학회지시리즈B:순수및응용수학, 8(2), 127-135.
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Abstract

The main object of this paper is to present a transformation formula for a finite series involving <TEX>$_3F_2$</TEX> and some identities associated with the binomial coefficients by making use of the theory of Legendre polynomials <TEX>$P_{n}$</TEX>(x) and some summation theorems for hypergeometric functions <TEX>$_pF_q$</TEX>. Some integral formulas are also considered.

keywords
Hypergeometric function, Transformation formula, Gamma and Beta functions, Legendre polynomial, Gauss＇s and Saalschutz＇z summation theorems, Leibniz＇s rule

한국수학교육학회지시리즈B:순수및응용수학

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