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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

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