Derangement polynomials with a complex variable

Abdelkader Benyattou
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367-8275
Volume 26, 2020, Number 4, Pages 128–135
DOI: 10.7546/nntdm.2020.26.4.128-135
Full paper (PDF, 156 Kb)

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Authors and affiliations

Abdelkader Benyattou
Department of Mathematics and Informatics, University of Djelfa, Algeria
RECITS Laboratory, P. O. 32 Box 32, El Alia 16111, Algiers, Algeria

Abstract

In this paper, we define new polynomials with a complex variable related to the derangement polynomials and we give some properties of those polynomials. We use umbral calculus to establish a new congruence concerning the derangement polynomials with a complex variable.

Keywords

• Derangement polynomials
• Complex variable, Congruence
• Umbral calculus

2010 Mathematics Subject Classification

• 11B83
• 11A07
• 30C10

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