Carlitz-Type and Other Bernoulli Identities

Madsen, Søren Møller

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dc.contributor.author	Madsen, Søren Møller
dc.contributor.other
dc.creator	Søren Møller Madsen;0000-0001-5420-8649
dc.date.accessioned	2018-07-14T06:31:16Z
dc.date.available	2018-07-14T06:31:16Z
dc.date.issued	2018-03-012
dc.identifier.isbn
dc.identifier.issn
dc.identifier.uri	http://repositorio.udlap.mx/xmlui/handle/123456789/8934
dc.description	By using an explicit formula for Bernoulli polynomials we obtained in a recent work (in which B n (x) is written as a linear combination of the polynomials (x − r) n , r = 1,. .. , K + 1, where K ≥ n), it is possible to obtain Bernoulli polynomial identities from polynomial-combinatorial identities. Using this approach, we obtain some generalizations and new demonstrations of the 1971 Carlitz identity involving Bernoulli numbers, and we also obtain some new identities involving Bernoulli polynomials.
dc.description.abstract	By using an explicit formula for Bernoulli polynomials we obtained in a recent work (in which B n (x) is written as a linear combination of the polynomials (x − r) n , r = 1,. .. , K + 1, where K ≥ n), it is possible to obtain Bernoulli polynomial identities from polynomial-combinatorial identities. Using this approach, we obtain some generalizations and new demonstrations of the 1971 Carlitz identity involving Bernoulli numbers, and we also obtain some new identities involving Bernoulli polynomials.
dc.description.sponsorship
dc.language	Alemán
dc.publisher
dc.relation	Versión actualizada
dc.relation.haspart
dc.rights	Acceso Abierto
dc.rights.uri	http://creativecommons.org/licenses/by-nc/4.0
dc.subject
dc.title	Carlitz-Type and Other Bernoulli Identities
dc.type	Documentación técnica