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arXiv · 2201.12359

The single-indexed exceptional Krawtchouk polynomials

Hiroshi Miki·Satoshi Tsujimoto·Luc Vinet
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Abstract

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.

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Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet. 2022-01-28. The single-indexed exceptional Krawtchouk polynomials. https://arxiv.org/abs/2201.12359

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