Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

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• 作者：Praveen Agarwal^a ; ^{goyal.praveen2011@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Feng Qi^b ; ^c ; ^{qifeng618@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{qifeng618@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; ; Mehar Chand^d ; ^{mehar.jallandhra@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Shilpi Jain^e ; ^{shilpijain1310@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：33C45 ; 44A15 ; 65A05
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：307-317
• 全文大小：408 K

文摘

The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.