IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i3p405-d331475.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/3/405/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/3/405/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kim, Tae Kyun, 2015. "Barnes’ type multiple degenerate Bernoulli and Euler polynomials," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 556-564.
    2. Ugur Duran & Mehmet Acikgoz, 2019. "Truncated Fubini Polynomials," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kim, Dae San & Kim, Taekyun & Mansour, Toufik & Seo, Jong-Jin, 2016. "Degenerate Mittag-Leffler polynomials," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 258-266.
    2. Ugur Duran & Mehmet Acikgoz, 2020. "On Degenerate Truncated Special Polynomials," Mathematics, MDPI, vol. 8(1), pages 1-43, January.
    3. H. Belbachir & S. Hadj-Brahim & Y. Otmani & M. Rachidi, 2022. "Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 425-442, June.
    4. Ghulam Muhiuddin & Waseem Ahmad Khan & Ugur Duran, 2021. "Two-Variable Type 2 Poly-Fubini Polynomials," Mathematics, MDPI, vol. 9(3), pages 1-13, January.
    5. Dolgy, Dmitry V. & Kim, Dae San & Kim, Taekyun & Mansour, Toufik, 2015. "Barnes-type degenerate Euler polynomials," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 388-396.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:405-:d:331475. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.