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math.CV2020
Dual of 2D fractional Fourier transform associated to Itô--Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi
A class of integral transforms, on the planar Gaussian Hilbert space with range in the weighted Bergman space on the bi-disk, is defined as the dual transforms of the 2d fractional…
math.CV2019
On a novel class of polyanalytic Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi
We carry out some algebraic and analytic properties of a new class of orthogonal polyanalytic polynomials, including their operational formulas, recurrence relations, generating fu…