Mathematica Eterna
Open Access

Abstract

A few remarks on Euler and Bernoulli polynomials and their connections with binomial coefficients and modified Pascal matrices

Pawe˜J. Szab˜owski

We prove certain identities involving Euler and Bernoulli polynomials that can be treated as recurrences. We use these and also other known identities to indicate strong connection between Euler and Bernoulli numbers and entries of inverses of certain lower triangular matrices built of binomial coefficients. In other words we interpret Euler and Bernoulli numbers in terms of modiÖed Pascal matrices.