35 citations · 124 across the 10 of their papers we have counts for
Showing 2003 · math.QAShow all
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math.QA2003
Big q-Laguerre and q-Meixner polynomials and representations of the algebra U_q(su(1,1))
M. N. Atakishiyev, N. M. Atakishiyev, A. U. Klimyk
Diagonalization of a certain operator in irreducible representations of the positive discrete series of the quantum algebra U_q(su(1,1)) is studied. Spectrum and eigenfunctions of…
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…