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math.CV2020★ 1 cited
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…