A two-sided Faulhaber-like formula involving Bernoulli polynomials

Barbero G., J. Fernando; Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús

e-Archivo Home
→
Investigación
→
Departamentos
→
Departamento de Matemáticas
→
Grupo de Modelización, Simulación Numérica y Matemática Industrial
→
DM - MSNMI - Artículos de Revistas
→
View Item

dc.contributor.author	Barbero G., J. Fernando
dc.contributor.author	Margalef Bentabol, Juan
dc.contributor.author	Sánchez Villaseñor, Eduardo Jesús
dc.date.accessioned	2021-04-05T12:34:23Z
dc.date.available	2021-04-05T12:34:23Z
dc.date.issued	2020-03-19
dc.identifier.bibliographicCitation	Barbero G., J.F., Margalef-Bentabol, J. and Villaseñor, E.J.S. (2020). A two-sided Faulhaber-like formula involving Bernoulli polynomials. Comptes Rendus Mathématique, 358(1), pp. 41-44
dc.identifier.issn	1631-073X
dc.identifier.uri	http://hdl.handle.net/10016/32262
dc.description.abstract	We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in particular, a Faulhaber-like formula for sums of the form 1m(n−1)m+2m(n−2)m+⋯+(n−1)m1m for positive integers m and n.
dc.language.iso	eng
dc.publisher	Académie des Sciences, Paris
dc.rights	© Académie des sciences, Paris and the authors, 2020. Some rights reserved.
dc.rights	Atribución 3.0 España
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/
dc.subject.other	Bernoulli polynomials
dc.subject.other	Faulhaber formula
dc.title	A two-sided Faulhaber-like formula involving Bernoulli polynomials
dc.type	article
dc.subject.eciencia	Materiales
dc.identifier.doi	https://doi.org/10.5802/crmath.10
dc.rights.accessRights	openAccess
dc.relation.projectID	Gobierno de España. FIS2017-84440-C2-2-P
dc.type.version	publishedVersion
dc.identifier.publicationfirstpage	41
dc.identifier.publicationissue	1
dc.identifier.publicationlastpage	44
dc.identifier.publicationtitle	Comptes Rendus Mathématique
dc.identifier.publicationvolume	358
dc.identifier.uxxi	AR/0000024704
dc.affiliation.dpto	UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industrial