Summation formulae for Gould–Hopper generalized Hermite polynomials

Abstract

In this article, we derive summation formulae for the Gould–Hopper generalized Hermite polynomials g n m ( x , y ) . Further, we derive the summation formulae for polynomials related to g n m ( x , y ) as applications. Furthermore, we establish a summation formula for M -variable generalized Hermite polynomials H n ( 1 , 2 , … , M ) ( x 1 , x 2 , … , x M ) .