15 citations · 17 across the 4 of their papers we have counts for
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math.CA2004★ 15 cited
Duality of q-polynomials, orthogonal on countable sets of points
N. M. Atakishiyev, A. U. Klimyk
We review properties of q-orthogonal polynomials, related to their orthogonality, duality and connection with the theory of symmetric (self-adjoint) operators, represented by a Jac…
math.CA2003★ 2 cited
A set of orthogonal polynomials, dual to alternative q-Charlier polynomials
N. M. Atakishiyev, A. U. Klimyk
The aim of this paper is to derive (by using two operators, representable by a Jacobi matrix) a family of q-orthogonal polynomials, which turn to be dual to alternative q-Charlier…
math.CA2003
On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials
N. M. Atakishiyev, A. U. Klimyk
This paper studies properties of q-Jacobi polynomials and their duals by means of operators of the discrete series representations for the quantum algebra U_q(su_{1,1}). Spectrum a…