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General Odd and Even Central Factorial Polynomial Sequences

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

The δ 2 ( · ) operator, where δ ( · ) is the known central difference operator, is considered. The associated odd and even polynomial sequences are determined and their generalizations studied. Particularly, matrix and determinant forms, recurrence formulas, generating functions and an algorithm for effective calculation are provided. An interesting property of biorthogonality is also demonstrated. New examples of odd and even central polynomial sequences are given.

Suggested Citation

  • Francesco Aldo Costabile & Maria Italia Gualtieri & Anna Napoli, 2022. "General Odd and Even Central Factorial Polynomial Sequences," Mathematics, MDPI, vol. 10(6), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:978-:d:774308
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    References listed on IDEAS

    as
    1. J. Y. Kang & C. S. Ryoo, 2013. "A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, October.
    2. Hari M. Srivastava & Khursheed J. Ansari & Faruk Özger & Zeynep Ödemiş Özger, 2021. "A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices," Mathematics, MDPI, vol. 9(16), pages 1-15, August.
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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.

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