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- Title
NEW QUADRAPLE HYPERGEOMETRIC SERIES AND THEIR INTEGRAL REPRESENTATIONS.
- Authors
BIN-SAAD, MAGED G.; YOUNIS, JIHAD A.; AKTAS, RABIA
- Abstract
While investigating the Exton's list of 21 hypergeometric functions of four variables namely K1,K2,. . .,K21 and the Sharma's and Parihar's list of eighty three hypergeometric functions of four variables namely F1(4), F2(4), . . .,F83(4)0, we noticed the existence of new hypergeometric series of four variables. In the present work, we first introduce five new quadruple series and then we give integral representations of Euler type and Laplace type for these new hypergeometric functions, which we denote by Xj(4)j (.), j = 1,2,3,4,5.
- Subjects
HYPERGEOMETRIC series; HYPERGEOMETRIC functions; MATHEMATICAL functions; EULER equations; LAPLACE distribution
- Publication
Sarajevo Journal of Mathematics, 2018, Vol 14, Issue 1, p45
- ISSN
1840-0655
- Publication type
Article
- DOI
10.5644/SJM.14.1-05