Summation formulae for Gould–Hopper generalized Hermite polynomials

In this article, we derive summation formulae for the Gould–Hopper generalized Hermite polynomials gnm(x,y). Further, we derive the summation formulae for polynomials related to gnm(x,y) as applications. Furthermore, we establish a summation formula for MM-variable generalized Hermite polynomials Hn(1,2,…,M)(x1,x2,…,xM).