The single-indexed exceptional Krawtchouk polynomials

The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are considered. The properties of these exceptional Krawtchouk polynomials including the Diophantine ones and the recurrence...

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Bibliographic Details
Published in:Journal of difference equations and applications 2023-03, Vol.29 (3), p.344-365
Main Authors: Miki, Hiroshi, Tsujimoto, Satoshi, Vinet, Luc
Format: Article
Language:English
Subjects:
diophantine property
exceptional krawtchouk polynomials
Krawtchouk polynomials
orthogonal polynomials
Polynomials
recurrence relations
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Summary:The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are considered. The properties of these exceptional Krawtchouk polynomials including the Diophantine ones and the recurrence relations are obtained.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2023.2202283