15 citations · 16 across the 4 of their papers we have counts for
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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…
math.QA2003
Hamiltonian Type Operators in Representations of the Quantum Algebra U_q(su_{1,1})
N. M. Atakishiyev, A. U. Klimyk
We study some classes of symmetric operators for the discrete series representations of the quantum algebra U_q(su_{1,1}), which may serve as Hamiltonians of various physical syste…
math.QA2003★ 1 cited
Harmonics on the Quantum Euclidean Space Related to the Quantum Orthogonal Group
N. Z. Iorgov, A. U. Klimyk
The aim of this paper is to study harmonic polynomials on the quantum Euclidean space E^N_q generated by elements x_i, i=1,2,...,N, on which the quantum group SO_q(N) acts. The har…