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Two-Variable q -Hermite-Based Appell Polynomials and Their Applications

Author

Listed:
  • Mohammed Fadel

    (Department of Mathematics, Lahej University, Lahej 73560, Yemen)

  • Maryam Salem Alatawi

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, 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)

Abstract

A noteworthy advancement within the discipline of q -special function analysis involves the extension of the concept of the monomiality principle to q -special polynomials. This extension helps analyze the quasi-monomiality of many q -special polynomials. This extension is a helpful tool for considering the quasi-monomiality of several q -special polynomials. This study aims to identify and establish the characteristics of the 2-variable q -Hermite–Appell polynomials via an extension of the concept of monomiality. Also, we present some applications that are taken into account.

Suggested Citation

  • Mohammed Fadel & Maryam Salem Alatawi & Waseem Ahmad Khan, 2024. "Two-Variable q -Hermite-Based Appell Polynomials and Their Applications," Mathematics, MDPI, vol. 12(9), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1358-:d:1386018
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    References listed on IDEAS

    as
    1. Subuhi Khan & Tabinda Nahid, 2018. "Determinant Forms, Difference Equations and Zeros of the q -Hermite-Appell Polynomials," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
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