The single-indexed exceptional Krawtchouk polynomials

Published 28 Jan 2022 in math.CA | (2201.12359v1)

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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