HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\)

HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\)

In this paper, we study the Hahn's problem with respect to some raising operators perturbed of the operator \(X-c\), where \(c\) is an arbitrary complex number. More precisely, the two following characterizations hold: up to a normalization, the \(q\)-Hermite (resp. Charlier) polynomial is the...

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Bibliographic Details
Main Authors: Baghdadi Aloui, Jihad Souissi
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2020-12-01
Series:Ural Mathematical Journal
Subjects:
orthogonal polynomials, linear functional, \(\mathcal{o}\)-classical polynomials, raising operators, \(q\)-hermite polynomials, charlier polynomials
Online Access:https://umjuran.ru/index.php/umj/article/view/259

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