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Some Identities of Fully Degenerate r -Dowling Polynomials Arising from λ -Umbral Calculus

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  • Xiaoxue Li

    (School of Science, Xihang University, Xi’an 710077, China)

  • Siqi Dong

    (School of Science, Xi’an Technological University, Xi’an 710021, China)

  • Yuankui Ma

    (School of Science, Xi’an Technological University, Xi’an 710021, China)

Abstract

This paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived. The relationship between fully degenerate Dowling polynomials and fully degenerate Bell polynomials, degenerate Bernoulli polynomials, degenerate Euler polynomials, and so on is obtained using umbral calculus.

Suggested Citation

  • Xiaoxue Li & Siqi Dong & Yuankui Ma, 2025. "Some Identities of Fully Degenerate r -Dowling Polynomials Arising from λ -Umbral Calculus," Mathematics, MDPI, vol. 13(13), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2162-:d:1693001
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    References listed on IDEAS

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    1. Lingling Luo & Yuankui Ma & Wencong Liu & Taekyun Kim & Pasquale Candito, 2023. "Some Identities of Fully Degenerate Dowling Polynomials and Numbers," Discrete Dynamics in Nature and Society, Hindawi, vol. 2023, pages 1-9, November.
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