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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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.
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    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.

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