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

Author

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  • Sang Jo Yun
  • Jin-Woo Park
  • Barbara Martinucci

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.

Suggested Citation

  • Sang Jo Yun & Jin-Woo Park & Barbara Martinucci, 2022. "Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, July.
    • Handle: RePEc:hin:jjmath:1482534
    DOI: 10.1155/2022/1482534
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