Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences. (14th July 2022)

• Record Type: Journal Article
• Authors: Yun, Sang Jo; Park, Jin-Woo
• Other Names: Martinucci Barbara Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-07-14
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/1482534
• Languages: English
• ISSNs: 2314-4629

Abstract

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.