73 citations · 176 across the 40 of their papers we have counts for
5 papers · 2 filters
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…
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…
Polyregularity of the dot product of slice regular functions
Allal Ghanmi
In this paper, we are concerned with the S-polyregularity the regular dot product of slice regular functions. We prove that the product of a slice regular function and right quater…