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

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 8(2), 127-135.

Abstract

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