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arXiv · 1210.6139

Derivations and identities for Kravchuk polynomials

Leonid Bedratyuk
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Abstract

We introduce the notion of Kravchuk derivations of the polynomial algebra. We prove that any element of the kernel of the derivation gives a polynomial identity satisfied by the Kravchuk polynomials. Also, we prove that any kernel element of the basic Weitzenbök derivations yields a polynomial identity satisfied by the Kravchuk polynomials. We describe the corresponding intertwining maps.

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Leonid Bedratyuk. 2012-10-23. Derivations and identities for Kravchuk polynomials. https://doi.org/10.1007/s11253-014-0896-9

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