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Vol.2 , No. 3, Publication Date: May 6, 2015, Page: 47-61
) (a,b;c;z) with respect to the variable z in a closed formula of hypergeometric function itself. Moreover, some new integral involving of the above-mentioned functions are obtained and many important results are noted.&picture=http://www.aascit.org/aascit/decorators/img/journal/921.jpg)
| [1] | S. I. El-Soubhy, Department of Mathematics, College of Science, Taibah University, Saudi Arabia. |
Recently, some generalizations of the generalized Gamma, Beta, Gauss hypergeometric and confluent hypergeometric functions have been introduced in literature. The main object of this paper is to express the nth derivative of z^s F_p^((α,β)) (a,b;c;z) with respect to the variable z in a closed formula of hypergeometric function itself. Moreover, some new integral involving of the above-mentioned functions are obtained and many important results are noted.
Keywords
Gamma Function, Beta Function, Hypergeometric Function, Confluent Hypergeometric Function
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