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Symmetric identities on Bernoulli polynomials

2007/09/17 by Amy M. Fu, Hao Pan, Fu, Amy M. +3
Mathematics · #05A15 #05A19 #11B68 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.CO #math.NT #msc:05A15 #msc:05A19 #msc:11B68

paper · pdf · doi:10.48550/arxiv.0709.2593

arxiv created 2007/09/17 · openalex publication_date 2007/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity.

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