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

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Listed:
  • Sang Jo Yun
  • Jin-Woo Park

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, 2022. "Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1482534
    DOI: 10.1155/2022/1482534
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    References listed on IDEAS

    as
    1. Taekyun Kim & Dae San Kim & Han Young Kim & Jongkyum Kwon, 2020. "Some Identities of Degenerate Bell Polynomials," Mathematics, MDPI, vol. 8(1), pages 1-8, January.
    2. Jang, Lee-Chae & Ryoo, C.S. & Seo, J.J. & In Kwon, Hyuck, 2016. "Some properties of the twisted Changhee polynomials and their zeros," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 169-177.
    3. J. Choi & D. S. Kim & T. Kim & Y. H. Kim, 2012. "A Note on Some Identities of Frobenius-Euler Numbers and Polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-9, March.
    4. Sang Jo Yun & Jin-Woo Park & Serkan Araci, 2020. "On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind," Journal of Mathematics, Hindawi, vol. 2020, pages 1-9, September.
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