Author(s)

Ahmed Ali Atash¹, Ahmed Ali Al-Gonah²

¹Department of Mathematics, Faculty of Education-Shabwah, Aden University, Aden, Yemen.
²Department of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.

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.

Extension Formulas, Lauricella’s Function, Dixon’s Theorem, Hypergeometric Functions

Atash, A. and Al-Gonah, A. (2016) On Two Extension Formulas for Lauricella’s Function of the Second Kind of Several Variables. Journal of Applied Mathematics and Physics, 4, 571-577. doi: 10.4236/jamp.2016.43062.