Proof of two conjectures on Askey-Wilson polynomials

Author:

Castillo K.,Mbouna D.

Abstract

We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, Cambridge, 2005]. These results generalize the classical problems of Sonine and Hahn.

Funder

Centro de Matemática, Universidade de Coimbra

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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4. K. Castillo and J. Petronilho, Classical orthogonal polynomials revisited, arXiv:2110.00401 [math.CA], 2021.

5. Über höhere Ableitungen von Orthogonalpolynomen;Hahn, Wolfgang;Math. Z.,1938

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