A new approach to the construction of generalized classical polynomials

UDC 517.587 In this paper, we develop a new method for constructing generalized classical polynomials, primarily Hermite polynomials in the sense of A. Krall, J. Koekoek, R. Koekoek, H. Bavinck, L. Littlejohn, et al. We construct a differential operator of infinite order whose eigenfunctions are suc...

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Bibliographic Details
Date:2021
Main Authors: Makarov, V. L., Макаров, В. Л.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6256
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal