A Look at Generalized Degenerate Bernoulli and Euler Matrices

Juan Hernández (), Dionisio Peralta and Yamilet Quintana
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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

Mathematics, 2023, vol. 11, issue 12, 1-15

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.

Keywords: generalized degenerate Bernoulli polynomials; generalized degenerate Euler polynomials; generalized degenerate Bernoulli matrix; generalized degenerate Euler matrix; generalized degenerate Pascal matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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