Derivations and Identities for Kravchuk Polynomials

• Дата: 2013
• Автори: Bedratyuk, L. P., Бедратюк, Л. П.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: 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...