TITLE:
On Two Extension Formulas for Lauricella’s Function of the Second Kind of Several Variables
AUTHORS:
Ahmed Ali Atash, Ahmed Ali Al-Gonah
KEYWORDS:
Extension Formulas, Lauricella’s Function, Dixon’s Theorem, Hypergeometric Functions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.3,
March
30,
2016
ABSTRACT: The aim of this research paper is to derive two extension formulas for Lauricella’s function of the second kind of several variables with the help of generalized Dixon’s theorem on the sum of the series obtained by Lavoie et al. [1]. Some special cases of these formulas are also deduced.