Two-dimensional (p,q)-heat polynomials of Gould–Hopper type

We introduce a new class of holomorphic polynomials extending the classical Gould–Hopper to two complex variables. The considered include 1-D and 2-D polyanalytic Itô–Hermite as particular cases. emphasize studying their operational representation, various generating functions, recurrence relations. also establish some special identities including multiplication, Runge addition Nielson types formulas. Higher-order partial differential equations are analyzed connection Gould-Hopper hypergeometric functions investigated.