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

Sang Jo Yun; Sangbeom Park; Jin-Woo Park; Jongkyum Kwon; Sang Jo Yun; Sangbeom Park; Jin-Woo Park; Jongkyum Kwon

doi:10.3934/era.2023367

Electronic Research Archive

2023, Volume 31, Issue 12: 7244-7255. doi: 10.3934/era.2023367

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

1.
Department of Mathematics, Dong-A University, Busan 604-714, Korea
2.
Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
3.
Department of Mathematics Education, Daegu University, Gyeongsan 38453, Korea
4.
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
^† These authors contributed equally to this work

Received: 03 August 2023 Revised: 19 October 2023 Accepted: 05 November 2023 Published: 13 November 2023

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.
- degenerate multi-poly-Changhee polynomials,
- multiple logarithm,
- the zeros of polynomials
Citation: Sang Jo Yun, Sangbeom Park, Jin-Woo Park, Jongkyum Kwon. Some identities of degenerate multi-poly-Changhee polynomials and numbers[J]. Electronic Research Archive, 2023, 31(12): 7244-7255. doi: 10.3934/era.2023367

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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.

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