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 ...

In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...