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

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...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2022, Vol.2022 (1)
Hauptverfasser: Yun, Sang Jo, Park, Jin-Woo
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/1482534