IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i18p2902-d1480121.html
   My bibliography  Save this article

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

Author

Listed:
  • Ali Boussayoud

    (LMAM Laboratory, Department of Mathematics, Faculty of Exact Sciences and Informatics, Mohamed Seddik Ben Yahia University, Jijel 18000, Algeria)

  • Salah Boulaaras

    (Department of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi Arabia)

  • Ali Allahem

    (Department of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

In this paper, using the symmetrizing operator δ e 1 e 2 2 − l , we derive new generating functions of the products of p , q -modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas polynomials, bivariate Pell and bivariate Pell Lucas polynomials, bivariate Jacobsthal and bivariate Jacobsthal Lucas polynomials, bivariate Vieta–Fibonacci and bivariate Vieta–Lucas polynomials, and bivariate complex Fibonacci and bivariate complex Lucas polynomials.

Suggested Citation

  • Ali Boussayoud & Salah Boulaaras & Ali Allahem, 2024. "Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials," Mathematics, MDPI, vol. 12(18), pages 1-24, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2902-:d:1480121
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/18/2902/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/18/2902/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mircea Merca, 2014. "A generalization of the symmetry between complete and elementary symmetric functions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(1), pages 75-90, February.
    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.

      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:18:p:2902-:d:1480121. 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.