A few remarks on Euler and Bernoulli polynomials and their connections with binomial coefficients and modified Pascal matrices
Rings and Algebras
2014-03-06 v1 Classical Analysis and ODEs
Abstract
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 connection of Euler and Bernoulli numbers with entries of inverses of certain lower triangular built of binomial coefficients. Another words we interpret Euler and Bernoulli numbers in terms of modified Pascal matrices.
Cite
@article{arxiv.1307.0300,
title = {A few remarks on Euler and Bernoulli polynomials and their connections with binomial coefficients and modified Pascal matrices},
author = {Paweł J. Szabłowski},
journal= {arXiv preprint arXiv:1307.0300},
year = {2014}
}