Journal of Integer Sequences, Vol. 22 (2019), Article 19.6.6

Probabilistic Proofs of Some Beta-Function Identities


Palaniappan Vellaisamy
Department of Mathematics
Indian Institute of Technology Bombay
Powai, Mumbai-400076
India

Aklilu Zeleke
Lyman Briggs College & Department of Statistics and Probability
Michigan State University
East Lansing, MI 48825
USA

Abstract:

Using a probabilistic approach, we derive some interesting identities involving beta functions. These results generalize certain well-known combinatorial identities involving binomial coefficients and gamma functions.

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Received April 12 2019; revised versions received May 14 2019; August 23 2019; August 31 2019; September 2 2019; September 10 2019. Published in Journal of Integer Sequences, September 23 2019.

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