On Combinatorial Properties of the degenerate Krawtchouk Appell polynomials

Abstract

The foremost aim of this study is to introduce and study several combinatorial properties and highlight specific aspects of a new class of polynomials sequences known as degenerate Krawtchouk Appell polynomials associated with the degenerate Pascal measure. As applications, the connection that exists between brand-new polynomials, Stirling numbers, scaling operator, translation operator and the orthogonal Bell polynomials has been investigated.