3 papers
math-ph2022
Heat coefficients for magnetic Laplacians on the complex projective space
K. Ahbli, A. Hafoud, Z. Mouayn
Denoting by the Fubini-Study Laplacian perturbed by a uniform magnetic field strength proportional to , this operator has a discrete spectrum consisting on eigenvalues $β_…
math.CV2020
Bargmann's versus of the quaternionic fractional Hankel transform
Abdelatif Elkachkouri, Allal Ghanmi, Ali Hafoud
We investigate the quaternionic extension of the fractional Fourier transform on the real half-line leading to fractional Hankel transform. This will be handled à la Bargmann by me…
math-ph2020
Integral representation for Jacobi polynomials and application to heat kernel on quantized sphere
Ali Hafoud, Allal Ghanmi
We derive a novel integral representations of Jacobi polynomials in terms of the Gauss hypergeometric function. Such representation is then used to give the explicit integral repre…