13 citations · 13 across the 1 of their papers we have counts for
2 papers
math.CA2006★ 13 cited
On factorization of q-difference equation for continuous q-Hermite polynomials
M. N. Atakishiyev, A. U. Klimyk
We argue that a customary q-difference equation for the continuous q-Hermite polynomials H_n(x|q) can be written in the factorized form as (D_q^2 - 1)H_n(x|q)=(q^{-n}-1)H_n(x|q), w…
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…