The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials

Authors

Tian-Xiao HeFollow
Jeff Liao
Peter Shiue

Publication Date

January 2015

Comments

Science China Mathematics is published by Science China Press, http://math.scichina.com:8081/sciAe/EN/column/column11290.shtml.

Abstract

A Pascal matrix function is introduced by Call and Velleman in [3]. In this paper, we will use the function to give a unied approach in the study of Bernoulli numbers and Bernoulli polynomials. Many well-known and new properties of the Bernoulli numbers and polynomials can be established by using the Pascal matrix function. The approach is also applied to the study of Euler numbers and Euler polynomials.

Disciplines

Applied Mathematics | Physical Sciences and Mathematics

Recommended Citation

He, Tian-Xiao; Liao, Jeff; and Shiue, Peter, "The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials" (2015). Scholarship. 24.
https://digitalcommons.iwu.edu/math_scholarship/24