Study of dynamical symmetrietry algebra of ${\Psi }_2$-Humbert function

Abstract

The study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function ${}_1{F}_1$ and ${\Psi }_2$-Humbert function and to derive some generating relations and reduction formulas for ${}_1{F}_1$ and ${\Psi }_2$ functions.