73 citations · 176 across the 40 of their papers we have counts for
48 papers
Fractional Zernike functions
Hajar Dkhissi, Allal Ghanmi, Safa Snoun
We consider and provide an accurate study for the fractional Zernike functions on the punctured unit disc, generalizing the classical Zernike polynomials and their associated -r…
Poly-meromorphic Itô-Hermite functions associated with a singular potential vector on the punctured complex plane
Hajar Dkhissi, Allal Ghanmi
We provide a theoretical study of a new family of orthogonal functions on the punctured complex plane solving the eigenvalue problems for some magnetic Laplacian perturbed by a sin…
A lifting theorem for planar mixed automorphic functions and applications
Aymane El Fardi, Allal Ghanmi, Lahcen Imlal
We deal with the concrete spectral analysis of an invariant magnetic Schrödinger operator acting on one dimensional -mixed automorphic functions with respect to given equivari…
Bicomplex polyharmonicity and polyholomorphy
Aiad El Gourari, Allal Ghanmi, Ilham Rouchdi
In this paper, we are concerned with the bicomplex analog of the well-known result asserting that real-valued harmonic functions, on simply connected domains, are the real parts of…
-complex Itô--Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi
We introduce two classes of -Itô--Hermite polynomials, the post-quantum analogs of the -Itô--Hermite polynomials introduced recently by Ismail and Zhang. We study their b…
A note on weighted poly-Bergman spaces
R. El Harti, A. ElKachkouri, A. Ghanmi
We introduce à la Vasilevski the weighted poly-Bergman spaces in the unit disc and provide concrete orthonormal basis and give close expression of their reproducing kernel. The mai…