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

ISSN : 1226-0657

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Vol.8 No.2

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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
2001, v.8 no.2, pp.127-135
Lee, Keum-Sik
Cho, Young-Joon
Choi, June-Sang
Lee,, K. , Cho,, Y. , & Choi,, J. (2001). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 8(2), 127-135.

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

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

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