Some Formulas Involving Hypergeometric Functions in Four Variables

Several (generalized) hypergeometric functions and a variety of their extensions have been presented and investigated in the literature by many authors. In the present paper, we investigate four new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Also, some interesting particular cases and consequences of our results are discussed.

Automated summary

In this paper, four new hypergeometric functions in four variables are investigated and several recursion formulas for these new functions are established. Additionally, some interesting particular cases and consequences of the results are discussed.