106 citations · 454 across the 52 of their papers we have counts for
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-Bessel Functions and Rogers-Ramanujan Type Identities
Mourad E. H. Ismail, Ruiming Zhang
We evaluate -Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the -version of the Rogers-R…
Kibble-Slepian Formula and Generating Functions for 2 Polynomials
Mourad E. H. Ismail, Ruiming Zhang
We prove a generalization of the Kibble--Slepian formula (for Hermite polynomials) and its unitary analogue involving the D Hermite polynomials recently proved in \cite{Ism4}. W…
Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra
Vincent X. Genest, Mourad E. H. Ismail, Luc Vinet +1
The algebraic underpinning of the tridiagonalization procedure is investigated. The focus is put on the tridiagonalization of the hypergeometric operator and its associated quadrat…
Classes of Bivariate Orthogonal Polynomials
Mourad E. H. Ismail, Ruiming Zhang
We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2- Hermite polynomials. We identify certain interesting members of…