Treffer: Several explicit formulae for Bernoulli polynomials

Title:
Several explicit formulae for Bernoulli polynomials
Authors:
Komatsu, Takao, Pita Ruiz V., Claudio de J.
Source:
Mathematical Communications
Volume 21
Issue 1
Publisher Information:
Croatian Mathematical Society, Division Osijek, Osijek; University of Osijek, Faculty of Electrical Engineering, Osijek, 2016.
Publication Year:
2016
Subject Terms:
Bernoulli polynomials, Exact enumeration problems, generating functions, binomial coefficients, Bernoulli and Euler numbers and polynomials, Combinatorial identities, bijective combinatorics, Bernoulli numbers
Document Type:
Fachzeitschrift Article
File Description:
application/xml; application/pdf
ISSN:
1848-8013
1331-0623
Access URL:
https://zbmath.org/6600055
https://hrcak.srce.hr/157714
https://hrcak.srce.hr/file/232446
Accession Number:
edsair.dedup.wf.002..f6c02c431e7c08d97bf80920587cf321
Database:
OpenAIRE

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Summary: We prove several explicit formulae for the \(n\)-th Bernoulli polynomial \(B_{n}(x)\), in which \(B_{n}(x)\) is equal to an affine combination of the polynomials \((x-1)^{n}, (x-2)^{n}, \ldots, (x-k-1)^{n}\), where \(k\) is any fixed positive integer greater or equal than \(n\).