1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CA2023
-Fractional Integral Operators With Two Parameters
Mourad E. H. Ismail, Keru Zhou
We use the Poisson kernel of the continuous -Hermite polynomials to introduces families of integral operators, which are semigroups of linear operators. We describe the eigenval…
math.CA2022★ 1 cited
Orthogonal Polynomials of Askey-Wilson Type
Mourad E. H. Ismail, Ruiming Zhang, Keru Zhou
We study two families of orthogonal polynomials. The first is a finite family related to the Askey-Wilson polynomials but the orthogonality is on the real line. A limiting case of…
math.CA2020
q-Fractional Askey-Wilson Integrals and Related Semigroups of Operators
Mourad E. H. Ismail, Ruiming Zhang, Keru Zhou
We introduce three one-parameter semigroups of operators and determine their spectra. Two of them are fractional integrals associated with the Askey-Wilson operator. We also study…