Sarcouncil Journal of Applied Sciences Aims & Scope

Sarcouncil Journal of Applied Sciences

An Open access peer reviewed international Journal
Publication Frequency- Monthly
Publisher Name-SARC Publisher

ISSN Online- 2945-3437
Country of origin-PHILIPPINES
Impact Factor- 3.78, ICV-64
Language- English

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Three applications of hypergeometric functions

Keywords: Hypergeometric function, Petkovsek-Wilf-Zeilberger’s method, Lah numbers, Binomial coefficient, Incomplete Beta function.

Abstract: We give a simple proof of a relation obtained by Qi-Guo for the sum of the Lah numbers in terms of the confluent hypergeometric function. We deduce the hypergeometric version of a combinatorial identity obtained by Engbers-Stocker. Besides, we show an alternative deduction for the Rathie-Paris formula satisfied by the Gauss hypergeometric function

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