IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i12p2109-d841274.html
   My bibliography  Save this article

A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications

Author

Listed:
  • Noor Alam

    (Department of Basic Sciences, Deanship of Preparatory Year, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Waseem Ahmad 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 paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using different analytical means and applying generating functions of generalized Apostol-type Frobenius-Euler polynomials and Bell-based Apostol-type Frobenius-Euler polynomials. In particular, parametric kinds of the Bell-based Apostol-type Frobenius-Euler polynomials are introduced and some of their algebraic and analytical properties are established. In addition, illustrative examples of these families of polynomials are shown, focusing on their numerical values and piloting some beautiful computer-aided graphs of them.

Suggested Citation

  • Noor Alam & Waseem Ahmad Khan & Cheon Seoung Ryoo, 2022. "A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications," Mathematics, MDPI, vol. 10(12), pages 1-26, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2109-:d:841274
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/12/2109/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/12/2109/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Esma Yıldız Özkan & Gözde Aksoy, 2022. "Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    2. Sunil Kumar Sharma & Waseem A. Khan & Cheon Seoung Ryoo, 2020. "A Parametric Kind of Fubini Polynomials of a Complex Variable," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    3. Abdullah Alotaibi, 2022. "Approximation of GBS Type q -Jakimovski-Leviatan-Beta Integral Operators in Bögel Space," Mathematics, MDPI, vol. 10(5), pages 1-21, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sahar Albosaily & Waseem Ahmad Khan & Serkan Araci & Azhar Iqbal, 2022. "Fully Degenerating of Daehee Numbers and Polynomials," Mathematics, MDPI, vol. 10(14), pages 1-13, July.

    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.

      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:10:y:2022:i:12:p:2109-:d:841274. 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.