Corpus ID: 231740483

On the functional equation for classical orthogonal polynomials on lattices

@inproceedings{Castillo2021OnTF,
  title={On the functional equation for classical orthogonal polynomials on lattices},
  author={Kenier Castillo and Duclaire Mbouna and J. Petronilho},
  year={2021}
}
Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented. 
A characterization of continuous $q$-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials
The purpose of this note is to characterize those orthogonal polynomials sequences (Pn)n≥0 for which π(x)DqPn(x) = (anx+ bn)Pn(x) + cnPn−1(x), n = 0, 1, 2, . . . , where Dq is the Askey-Wilson

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