Transformation Formulas of Lauricella's Function of the Fourth kind of Several Variables


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Authors

  • 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

Keywords:

Transformation formulas, Lauricella's function, Kummer's theorem, Hypergeometric functions

Abstract

The aim of this research paper is to derive transformation formulas for Lauricella's function of the fourth kind of several variables with the help of generalized Kummer's theorem on the sum of the series ${}_{2} F_{1} (-1)$ obtained by Lavoie et al. [10]. Some special cases of these formulas are also deduced.

 

 

Author Biographies

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

 

 

 

 

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Published

15-03-2016

How to Cite

Ahmed Ali Atash, & Hussein Saleh Bellehaj. (2016). Transformation Formulas of Lauricella’s Function of the Fourth kind of Several Variables. International Journal of Mathematics And Its Applications, 4(1 - D), 195–201. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/630

Issue

Vol. 4 No. 1 - D (2016)

Section

Research Article

License

Copyright (c) 2016 International Journal of Mathematics And its Applications

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