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A Parametric Kind of the Degenerate Fubini Numbers and Polynomials

Author

Listed:
  • Sunil Kumar Sharma

    (College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia)

  • Waseem A. Khan

    (Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Saudi Arabia)

  • Cheon Seoung Ryoo

    (Department of Mathematics, Hannam University, Daejeon 34430, Korea)

Abstract

In this article, we introduce the parametric kinds of degenerate type Fubini polynomials and numbers. We derive recurrence relations, identities and summation formulas of these polynomials with the aid of generating functions and trigonometric functions. Further, we show that the parametric kind of the degenerate type Fubini polynomials are represented in terms of the Stirling numbers.

Suggested Citation

  • Sunil Kumar Sharma & Waseem A. Khan & Cheon Seoung Ryoo, 2020. "A Parametric Kind of the Degenerate Fubini Numbers and Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:405-:d:331475
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    References listed on IDEAS

    as
    1. Ugur Duran & Mehmet Acikgoz, 2019. "Truncated Fubini Polynomials," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    2. Kim, Tae Kyun, 2015. "Barnes’ type multiple degenerate Bernoulli and Euler polynomials," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 556-564.
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