TITLE:
Transformation Formulas for the First Kind of Lauricella’s Function of Several Variables
AUTHORS:
Fadhle B. F. Mohsen, Ahmed Ali Atash, Hussein Saleh Bellehaj
KEYWORDS:
Transformation Formulas, Lauricella’s function, Dixon’s Theorem, Kampé de Fériet Function
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.6,
June
27,
2016
ABSTRACT: Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella’s function of the second kind of several variables and . Now in this research paper we derive two families of transformation formulas for the first kind of Lauricella’s function of several variables and with the help of generalized Dixon’s theorem on the sum of the series obtained earlier by Lavoie et al. [2]. Some new and known results are also deduced as applications of our main formulas.