A PROOF OF THE MOST IMPORTANT IDENTITY INVOLVED IN THE BETA FUNCTION
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. 한국수학교육학회지시리즈B:순수및응용수학, 4(1), 71-76.
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
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Gamma function,
Beta function,
Hypergeometric series