73 citations · 176 across the 40 of their papers we have counts for
7 papers · 1 filter
Bivariate poly-analytic Hermite polynomials
Allal Ghanmi, Khalil Lamsaf
A new class of bivariate poly-analytic Hermite polynomials is considered. We show that they are realizable as the Fourier-Wigner transform of the univariate complex Hermite functio…
Two-dimensional -heat polynomials of Gould--Hopper type
Allal Ghanmi, Khalil Lamsaf
We introduce a new class of holomorphic polynomials extending the classical Gould--Hopper to two complex variables. The considered polynomials include the -D and -D holomorph…
The orthogonal complement of the Hilbert space associated to holomorphic Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi, Mohammed Souid El Ainin
We study the orthogonal complement of the Hilbert subspace considered by by van Eijndhoven and Meyers in [J. Math. Anal. Appl. 146 (1990), no. 1, 89--98} and associated to holomorp…
On bicomplex Fourier--Wigner transforms
Aiad El Gourari, Allal Ghanmi, Khalil Zine
We consider the - and -d bicomplex analogs of the classical Fourier--Wigner transform. Their basic properties, including Moyal's identity and characterization of their ranges…
Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms
Allal Ghanmi, Khalil Zine
We consider and discuss some basic properties of the bicomplex analog of the classical Bargmann space. The explicit expression of the integral operator connecting the complex and b…
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…