Open Access

ARTICLE

On Degenerate Array Type Polynomials

Lan Wu¹, Xue-Yan Chen¹, Muhammet Cihat Dağli², Feng Qi^3,4,*

1 Key Laboratory of Intelligent Manufacturing Technology, Inner Mongolia Minzu University, Tongliao, 028000, Inner Mongolia, China
2 Department of Mathematics, Akdeniz University, Antalya, 07058, Turkey
3 Institute of Mathematics, Henan Polytechnic University, Jiaozuo, 454010, China
4 School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China

* Corresponding Author: Feng Qi. Email:

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 131(1), 295-305. https://doi.org/10.32604/cmes.2022.018778

Received 17 August 2021; Accepted 27 October 2021; Issue published 24 January 2022

Abstract

In the paper, with the help of the Faá di Bruno formula and an identity of the Bell polynomials of the second kind, the authors define degenerate λ-array type polynomials, establish two explicit formulas, and present several recurrence relations of degenerate λ-array type polynomials and numbers.

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Keywords

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