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arXiv · 2605.16287

On Combinatorial Properties of the degenerate Krawtchouk Appell polynomials

Mohamed Abdelkader·Mohamed Rhaima
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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.

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Mohamed Abdelkader, Mohamed Rhaima. 2026-04-13. On Combinatorial Properties of the degenerate Krawtchouk Appell polynomials. https://arxiv.org/abs/2605.16287

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