Infinite Summation Formulas for Triple Lauricella Hypergeometric Functions.

Inspired by the work by Brychkov and Saad who gave infinite summation formulas for Appell functions (of two variables) with the help of summation theorems, we, using a new inverse pair of symbolic operators, establish infinite summation formulas for four Lauricella functions of three variables. As an application of the results obtained, we present integral representation formulas. [ABSTRACT FROM AUTHOR]