A Look at Generalized Degenerate Bernoulli and Euler Matrices

Author:

Hernández Juan1ORCID,Peralta Dionisio1ORCID,Quintana Yamilet23ORCID

Affiliation:

1. Escuela de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Santo Domingo, Santo Domingo 10105, Dominican Republic

2. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, Spain

3. 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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

1. Degenerate Bernstein polynomials;Kim;Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM,2019

2. Some new formulas of complete and incomplete degenerate Bell polynomials;Kim;Adv. Differ. Equ.,2021

3. Generalized Apostol-type polynomial matrix and its algebraic properties;Quintana;Math. Rep.,2019

4. Euler matrices and their algebraic properties revisited;Quintana;Appl. Math. Inf. Sci.,2020

5. The linear algebra of the generalized Pascal functional matrix;Bayat;Linear Algebra Appl.,1999

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