Reciprocal formulae for convolutions of Bernoulli and Euler polynomials

Reciprocal formulae for convolutions of Bernoulli and Euler polynomials

By computing the bivariate exponential generating functions for the Ω-functions, we investigate the reciprocal sums concerning Bernoulli and Euler polynomials. Their convolutions with different weight factors lead to numerous strange identities on Bernoulli and Euler polynomials, such as Miki’s id...

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Bibliographic Details
Main Author: Wenchang Chu
Format: Article
Language:English
Published: Sapienza Università Editrice 2012-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
generating function
binomial convolution
bernoulli polynomial
euler polynomial
miki’s identity
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2012(1-2)/17-74.pdf

Internet

https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2012(1-2)/17-74.pdf

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