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A Look at Generalized Degenerate Bernoulli and Euler Matrices

Author

Listed:
  • Juan Hernández

    (Escuela de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Santo Domingo, Santo Domingo 10105, Dominican Republic)

  • Dionisio Peralta

    (Escuela de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Santo Domingo, Santo Domingo 10105, Dominican Republic)

  • Yamilet Quintana

    (Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, Spain
    Instituto de Ciencias Matemáticas (ICMAT), Campus de Cantoblanco UAM, 28049 Madrid, Spain)

Abstract

In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. In particular, we focus our attention on some matrix-inversion formulae involving these matrices. Furthermore, we provide analytic properties for the so-called generalized degenerate Pascal matrix of the first kind, and some factorizations for the generalized degenerate Euler polynomial matrix.

Suggested Citation

  • Juan Hernández & Dionisio Peralta & Yamilet Quintana, 2023. "A Look at Generalized Degenerate Bernoulli and Euler Matrices," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2731-:d:1172763
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    Cited by:

    1. Noor Alam & Shahid Ahmad Wani & Waseem Ahmad Khan & Hasan Nihal Zaidi, 2024. "Investigating the Properties and Dynamic Applications of Δ h Legendre–Appell Polynomials," Mathematics, MDPI, vol. 12(13), pages 1-14, June.

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