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 ...
In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and ...
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.
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