A PROOF OF THE MOST IMPORTANT IDENTITY INVOLVED IN THE BETA FUNCTION

Choi, June-Sang; Choi, June-Sang

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P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.4 No.1

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A PROOF OF THE MOST IMPORTANT IDENTITY INVOLVED IN THE BETA FUNCTION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

1997, v.4 no.1, pp.71-76

Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University)

Choi, June-Sang. (1997). A PROOF OF THE MOST IMPORTANT IDENTITY INVOLVED IN THE BETA FUNCTION, 4(1), 71-76.

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Abstract

A new proof of the well-known identity involved in the Beta function B(p, q) is given by using the theory of hypergeometric series and a brief history of Gamma function is also provided. The method here is shown to be able to apply to evaluate some definite integrals.

keywords: Gamma function, Beta function, Hypergeometric series

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Vol.4 No.1

A PROOF OF THE MOST IMPORTANT IDENTITY INVOLVED IN THE BETA FUNCTION

Abstract

한국수학교육학회지시리즈B:순수및응용수학