Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences

Sang Jo Yun, Jin-Woo Park and Barbara Martinucci

Journal of Mathematics, 2022, vol. 2022, 1-9

Abstract: In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee polynomial as a linear combination of some special polynomials. In addition, we derive some interesting identities related to degenerate poly-Changhee polynomials and some important special functions by using λ-umbral calculus.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1482534

DOI: 10.1155/2022/1482534

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