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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 22 No. 1 (2018)

Obtaining generating relations associated with the generalized Gauss hypergeometric function

  • Fadhle B. F. Mohsen Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen
  • Maisoon A. H. Kulib Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 22 No. 1 (2018), 30-04-2018 Page 151-157

DOI:

https://doi.org/10.47372/uajnas.2018.n1.a12

Abstract

In this paper, some new generating relations involving the generalized hyper- geometric function and the generalized confluent hypergeometric function are established by mainly applying Taylor's Theorem. Due to their very general nature, the main results can be shown to be specialized to yield a large number of new, known, interesting and useful generating relations involving the Gauss hypergeometric function and its related functions.

Keywords:
    Gamma function, Beta function, Generalized Beta type function, Generating functions, Generalized confluent hypergeometric function, Generalized Gauss hypergeom- etric function, Hadamard product

How to Cite

Mohsen, F. B. F., & Kulib, M. A. H. (2018). Obtaining generating relations associated with the generalized Gauss hypergeometric function. University of Aden Journal of Natural and Applied Sciences, 22(1), 151–157. https://doi.org/10.47372/uajnas.2018.n1.a12
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