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On Apostol-Type Hermite Degenerated Polynomials

Author

Listed:
  • Clemente Cesarano

    (Section of Mathematics, Universitá Telematica Internazionale Uninettuno, 00186 Rome, Italy
    These authors contributed equally to this work.)

  • William Ramírez

    (Section of Mathematics, Universitá Telematica Internazionale Uninettuno, 00186 Rome, Italy
    Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquilla 00928-1345, Colombia
    These authors contributed equally to this work.)

  • Stiven Díaz

    (Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquilla 00928-1345, Colombia
    These authors contributed equally to this work.)

  • Adnan Shamaoon

    (Syed Babar Ali School of Science and Engineering, Lahore University of Management Sciences, Lahore 54792, Pakistan
    These authors contributed equally to this work.)

  • Waseem Ahmad Khan

    (Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m . We establish some algebraic and differential properties for generalizations of new classes of degenerated Apostol–Bernoulli polynomials. These results are shown using generating function methods for Apostol–Euler and Apostol–Genocchi Hermite polynomials of level m .

Suggested Citation

  • Clemente Cesarano & William Ramírez & Stiven Díaz & Adnan Shamaoon & Waseem Ahmad Khan, 2023. "On Apostol-Type Hermite Degenerated Polynomials," Mathematics, MDPI, vol. 11(8), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1914-:d:1126683
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    References listed on IDEAS

    as
    1. Letelier Castilla & William Ramírez & Alejandro Urieles, 2018. "An Extended Generalized -Extensions for the Apostol Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-13, July.
    2. R. Tremblay & S. Gaboury & B.-J. Fugère, 2012. "Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, September.
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