Some identities involving derangement polynomials and $ r $-Bell polynomials

Name: Some identities involving derangement polynomials and $ r $-Bell polynomials
Creator: Aimin Xu
Keywords: QA1-939, stirling numbers, derangement polynomials, $ r $-bell polynomials, Mathematics, identities

Aimin Xu

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Article . 2023 . Peer-reviewed

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AIMS Mathematics

Article . 2024

Data sources: DOAJ

Some identities involving derangement polynomials and $ r $-Bell polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 9, pages 2,051-2,062 (issn: 2473-6988,

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Authors: Aimin Xu;

doi: 10.3934/math.2024102

Some identities involving derangement polynomials and $ r $-Bell polynomials

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Abstract

<abstract><p>In this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its generalizations due to Du and Fonseca. The identities of the second kind extended some of the results on derangement polynomials and Bell polynomials due to Kim et al.</p></abstract>

Related Organizations

Zhejiang Wanli University
China (People's Republic of)

Keywords

QA1-939, stirling numbers, derangement polynomials, $ r $-bell polynomials, Mathematics, identities

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