IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i9p964-d543304.html
   My bibliography  Save this article

General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

Author

Listed:
  • Francesco Aldo Costabile

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

  • Maria Italia Gualtieri

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

  • Anna Napoli

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

Abstract

An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched. New and known examples of bivariate Appell polynomial sequences are given.

Suggested Citation

  • Francesco Aldo Costabile & Maria Italia Gualtieri & Anna Napoli, 2021. "General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints," Mathematics, MDPI, vol. 9(9), pages 1-29, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:964-:d:543304
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/9/964/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/9/964/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gabriella Bretti & Pierpaolo Natalini & Paolo E. Ricci, 2004. "Generalizations of the Bernoulli and Appell polynomials," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-11, January.
    2. Subuhi Khan & Nusrat Raza, 2013. "General-Appell Polynomials within the Context of Monomiality Principle," International Journal of Analysis, Hindawi, vol. 2013, pages 1-11, February.
    3. Cheon Seoung Ryoo & Waseem A. Khan, 2020. "On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-18, March.
    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. Francesco Aldo Costabile & Maria Italia Gualtieri & Anna Napoli, 2022. "Polynomial Sequences and Their Applications," Mathematics, MDPI, vol. 10(24), pages 1-3, December.
    2. Waleed Mohamed Abd-Elhameed & Amr Kamel Amin, 2023. "Novel Formulas of Schröder Polynomials and Their Related Numbers," Mathematics, MDPI, vol. 11(2), pages 1-23, January.

    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. Özat, Zeynep & Çekim, Bayram & Ali Özarslan, Mehmet, 2023. "Δω-Laguerre based Appell polynomials and their properties associated with some special polynomials," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    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. Subuhi Khan & Nusrat Raza, 2013. "General-Appell Polynomials within the Context of Monomiality Principle," International Journal of Analysis, Hindawi, vol. 2013, pages 1-11, February.
    4. Shahid Ahmad Wani & Khalil Hadi Hakami & Hamad Zogan, 2024. "Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials," Mathematics, MDPI, vol. 12(16), pages 1-14, August.

    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:9:y:2021:i:9:p:964-:d:543304. 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.