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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 22 No. 1 (2018)

Integrals formulas involving confluent hypergeometric Functions of three variables Ф\(_2^{(3)}\) and Ѱ\(_2^{(3)}\)

  • Ahmed Ali Atash Department of Mathematics, Faculty of Education-Shabwah, Aden University, Aden, Yemen
  • Hussein Saleh Bellehaj Department of Mathematics, Faculty of Education-Shabwah, Aden University, Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 22 No. 1 (2018), 30-04-2018 Page 143-149

DOI:

https://doi.org/10.47372/uajnas.2018.n1.a11

Abstract

The aim of this paper is to establish two general integral formulas involving confluent hypergeometric functions of three variables Ф2(3) and Ѱ2(3) with the help of two extension formulas for Lauricella’s functions of three variables FA(3) and FD(3) due to Atash [1] and Atash and Bellehaj [2]. Some applications of our main results are also presented.

Keywords:
    Integral formulas, Hypergeometric functions, Dixon’s theorem, Kummer’s theorem

How to Cite

Atash, A. A., & Bellehaj, H. S. (2018). Integrals formulas involving confluent hypergeometric Functions of three variables Ф\(_2^{(3)}\) and Ѱ\(_2^{(3)}\). University of Aden Journal of Natural and Applied Sciences, 22(1), 143–149. https://doi.org/10.47372/uajnas.2018.n1.a11
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