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Research Article | Open Access

Some identities of degenerate multi-poly-Changhee polynomials and numbers

Sang Jo Yun1,†, Sangbeom Park2,†, Jin-Woo Park3( ), Jongkyum Kwon4( )
Department of Mathematics, Dong-A University, Busan 604-714, Korea
Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
Department of Mathematics Education, Daegu University, Gyeongsan 38453, Korea
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

† These authors contributed equally to this work

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Abstract

Recently, many researchers studied the degenerate multi-special polynomials as degenerate versions of the multi-special polynomials and obtained some identities and properties of the those polynomials. The aim of this paper was to introduce the degenerate multi-poly-Changhee polynomials arising from multiple logarithms and investigate some interesting identities and properties of these polynomials that determine the relationship between multi-poly-Changhee polynomials, the Stirling numbers of the second kind, degenerate Stirling numbers of the first kind and falling factorial sequences. In addition, we investigated the phenomenon of scattering the zeros of these polynomials.

Keywords

degenerate multi-poly-Changhee polynomialsmultiple logarithmthe zeros of polynomials

References

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Electronic Research Archive
Volume 31 Issue 12,
December 2023
Pages 7244-7255
DOI: 10.3934/era.2023367

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Cite this article:
Yun SJ, Park S, Park J-W, et al. Some identities of degenerate multi-poly-Changhee polynomials and numbers. Electronic Research Archive, 2023, 31(12): 7244-7255. https://doi.org/10.3934/era.2023367

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Received: 03 August 2023
Revised: 19 October 2023
Accepted: 05 November 2023
Published: 15 December 2023
©2023 the Author(s), licensee AIMS Press.

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