IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i23p3862-d1539304.html
   My bibliography  Save this article

A Study of the q -Truncated Exponential–Appell Polynomials

Author

Listed:
  • Francesco Aldo Costabile

    (Department of Mathematics and Computer Science, University of Calabria, 87036 Rende, CS, Italy)

  • Subuhi Khan

    (Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India)

  • Hassan Ali

    (Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India)

Abstract

This article introduces the 2-variable q -truncated exponential–Appell ( q -trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q -trunc. exp. Appell family along with their graphical representations which contribute to advancing the understanding of q -series and q -special functions. Potential applications of these polynomials span various disciplines, including combinatorics (such as partition theory and combinatorial identities), number theory (such as q -analogues of classical number-theoretic functions), and mathematical physics (such as in quantum groups and statistical mechanics). This study concludes with the introduction of the 2-variable q -trunc. exp. λ -polynomials, thereby broadening the scope and relevance of this research.

Suggested Citation

  • Francesco Aldo Costabile & Subuhi Khan & Hassan Ali, 2024. "A Study of the q -Truncated Exponential–Appell Polynomials," Mathematics, MDPI, vol. 12(23), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3862-:d:1539304
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/23/3862/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/23/3862/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Eini Keleshteri, Marzieh & Mahmudov, Nazim I., 2015. "A study on q-Appell polynomials from determinantal point of view," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 351-369.
    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. 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.
    2. Ghazala Yasmin & Cheon Seoung Ryoo & Hibah Islahi, 2020. "A Numerical Computation of Zeros of q -Generalized Tangent-Appell Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-20, March.

    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:12:y:2024:i:23:p:3862-:d:1539304. 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.