1 citations · 1 across the 4 of their papers we have counts for
4 papers
-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…
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…
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…
Two Families of Constant Term Identities
Keru Zhou
In 1985, Bressoud and Goulden derived the formula for the constant term in $\prod_{(i,j)\in T} \frac{x_j}{x_i}\\\prod_{0\le i<j \le n}(\frac{x_i}{x_j})_{a_i}(\frac{qx_j}{x_i})_{a_j…