@article{Abdelkader2026, 
author = {Mohamed Abdelkader and Mohamed Rhaima},
title = {On combinatorial properties of the degenerate Krawtchouk Appell polynomials},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {20440-20460},
keywords = {Bell polynomials, degenerate Pascal measure, degenerate Krawtchouk Appell polynomials, scaling operator},
url = {https://www.sciopen.com/article/10.3934/math.2026831},
doi = {10.3934/math.2026831},
abstract = {The foremost aim of this study is to introduce and study several combinatorial properties and highlight specific aspects of a new class of polynomial sequences, known as degenerate Krawtchouk Appell polynomials, associated with the degenerate Pascal measure. As an application, the connection between these brand-new polynomials, Stirling numbers, the scaling operator, the translation operator, and orthogonal Bell polynomials have been investigated.}
}