2 papers
math.CA2022
On another characterization of Askey-Wilson polynomials
D. Mbouna, A. Suzuki
In this paper we show that the only sequences of orthogonal polynomials satisfying \begin{align*} ϕ(x)\mathcal{D}_q P_{n}(x)=a_n\mathcal{S}_q P_{n+1}(x) +b_n\math…
math.CA2020
On variation of zeros of classical discrete orthogonal polynomials
K. Castillo, F. R. Rafaeli, A. Suzuki
The purpose of this note is to establish, from the hypergeometric-type difference equation introduced by Nikiforov and Uvarov, new tractable sufficient conditions for the monotonic…