A GENERALIZED FORMULA INVOLVING GAMMA FUNCTION

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 156

Volume : 8 , Issue : 1
DOI:
Author :
Salahuddin (Department of Mathematics, PDM University, Bahadurgarh - 124507, Haryana, INDIA)
Intazar Husain (Department of Mathematics, PDM University, Bahadurgarh - 124507, Haryana, INDIA)

Abstract

In this paper, we have developed the generalized expression $${}_{2}F_{1}\left[\begin{array}{ll}a,~b~~~~~~;&\\ \frac{a+b+n}{2}~~~~; \end {array}{\frac{1}{2}}\right]$$ and some formulae of this generalized formula.

Keywords and Phrases

Pochhammer symbol, Digamma function, Hypergeometric function, Gauss, Positive integers.

A.M.S. subject classification

33C05, 33C20, 33C60.

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