28 citations · 52 across the 12 of their papers we have counts for
12 papers
A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
F. Alberto Grünbaum, Mizan Rahman
The one variable Krawtchouk polynomials, a special case of the function did appear in the spectral representation of the transition kernel for a Markov chain studied a long…
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
F. Alberto Grünbaum, Mizan Rahman
We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of…
Some Systems of Multivariable Orthogonal q-Racah polynomials
George Gasper, Mizan Rahman
In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of m…
Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials
George Gasper, Mizan Rahman
In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of m…
q-Analogues of Some Multivariable Biorthogonal Polynomials
George Gasper, Mizan Rahman
A q-analogue a pair of multivariable biorthogonal polynomials found by M.V.Tratnik in 1989 is derived. The weight function is a product of a multivariable version of the integrand…
Fourier transforms on the quantum SU(1,1) group
Erik Koelink, Jasper Stokman, Mizan Rahman
The main goal is to interpret the Askey-Wilson function and the corresponding transform pair on the quantum SU(1,1) group. A weight on the C^*-algebra of continuous functions vanis…