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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 relations are obtained.

preprint2022arXivOpen access

Hiroshi Miki Satoshi Tsujimoto Luc Vinet

math.CA

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Hiroshi Miki Satoshi Tsujimoto Luc Vinet

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The single-indexed exceptional Krawtchouk polynomials

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