3 papers
math.CA2023
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.
math.CA2023
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…
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…