New identities involving Bernoulli and Euler polynomials

2004/07/21 by Hao Pan, Zhi-Wei Sun, Zhi‐Wei Sun +2
Mathematics · #05A19 #11B68 #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Number Theory (math.NT) #math.CO #math.NT #msc:05A19 #msc:11B68

paper · pdf · doi:10.48550/arxiv.math/0407363

13 pages, more readable version

openalex publication_date 2004/07/21 · arxiv created 2004/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain several new identities for Bernoulli and Euler polynomials; some of them extend Miki's and Matiyasevich's identities. Our new method involves differences and derivatives of polynomials.

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