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 ...

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 ...

ABSTRACT: After developing the mathematical means for the correspondence of classical phase-space function to quantum-mechanical operators with symmetrical ordering of the basic canonical operators in ...

Proceedings of the American Mathematical Society, Vol. 25, No. 2 (Jun., 1970), pp. 405-412 (8 pages) A new class of generating functions for generalized hypergeometric polynomials is obtained.