Study of dynamical symmetrietry algebra of $\Psi_2$-Humbert function

TL;DR

This paper constructs the dynamical symmetry algebra of the $_1F_1$ and $ ext{ extPsi}_2$-Humbert functions, deriving generating relations and reduction formulas to deepen understanding of their algebraic structures.

Contribution

It introduces the dynamical symmetry algebra for $_1F_1$ and $ extPsi_2$ functions, providing new algebraic tools and relations for these special functions.

Findings

Derived the dynamical symmetry algebra for $_1F_1$ and $ extPsi_2$ functions.

Established generating relations for these functions.

Presented reduction formulas enhancing their algebraic understanding.

Abstract

The study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function $_1F_1$ and $\Psi_2$-Humbert function and to derive some generating relations and reduction formulas for $_1F_1$ and $\Psi_2$ functions.