1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2006
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
Valentyna A. Groza, Ivan I. Kachuryk
The dual discrete -ultraspherical polynomials correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonalit…
math.QA2005★ 1 cited
Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
Valentyna Groza
We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra su_q(1,1). Spectra and e…
math.QA1998
Representations of quantum algebra U_q(u_{n,1})
V. A. Groza, N. Z. Iorgov, A. U. Klimyk
Infinite dimensional representations of the real form U_q(u_{n,1}) of the Drinfeld--Jimbo algebra U_q(gl_{n+1}) are defined. The principal series of representations of U_q(u_{n,1})…