Derivations and Identities for Kravchuk Polynomials

• Datum: 2013
• Hauptverfasser: Bedratyuk, L. P., Бедратюк, Л. П.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2539
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We introduce the notion of Kravchuk derivations of the polynomial algebra. It is proved that any element of the kernel of a derivation of this kind gives a polynomial identity satisfied by the Kravchuk polynomials. In addition, we determine the explicit form of isomorphisms mapping the kernel of the...