A Look at Generalized Degenerate Bernoulli and Euler Matrices

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