AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (266.3 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

On combinatorial properties of the degenerate Krawtchouk Appell polynomials

Mohamed Abdelkader( ), Mohamed Rhaima
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Show Author Information

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.

Keywords

Bell polynomialsdegenerate Pascal measuredegenerate Krawtchouk Appell polynomialsscaling operator
CLC number: 33C45, 11C08, 94A11, 42C05, 94A11

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 7,
July 2026
Pages 20440-20460
DOI: 10.3934/math.2026831

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Abdelkader M, Rhaima M. On combinatorial properties of the degenerate Krawtchouk Appell polynomials. AIMS Mathematics, 2026, 11(7): 20440-20460. https://doi.org/10.3934/math.2026831

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 19 April 2026
Revised: 15 June 2026
Accepted: 23 June 2026
Published: 15 July 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)