3 citations · 3 across the 5 of their papers we have counts for
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On First type characterizations of Askey-Wilson polynomials
D. Mbouna, A. Suzuki
In this chapter we characterize Askey-Wilson polynomials including specific and limiting cases of them by some structure relations of the first type.
Some Appell-type orthogonal polynomials on lattices
D. Mbouna, A. Suzuki
We investigate on some Appel-type orthogonal polynomial sequences on q-quadratic lattices and we provide some entire new characterizations of the Al-Salam Chihara polynomials (incl…
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…
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…