In this paper, we deduce several types of generating functions for q-2D Hermite polynomial by the method of homogeneous q-difference equations. Besides, we deduce a multilinear generating function for ...
Abstract. We study the complex Hermite polynomials {Hm,n(z, z̄)} in some detail, establish operational formulas for them and prove a Kibble-Slepian type formula, which extends the Poisson kernel for ...
Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
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