DECOMPOSITION FORMULAS FOR SOME HYPERGEOMETRIC FUNCTIONS IN THREE VARIABLES

Anvar Hasanov; Jihad Younis

Anvar Hasanov
Jihad Younis

Keywords: Inverse pairs of symbolic operators, decomposition formulas, Gaussian hypergeometric functions in three variables, transformation formulas

Abstract

Recently, many authors have established several decomposition formulas associated with the hypergeometric functions in two and more variablese. In this paper, we obtain some decomposition formulas for Gaussian triple hypergeometric functions by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011. Certain transformation formulas for these triple functions have also been obtained.