DC FieldValueLanguage
dc.contributor.authorTričković, Slobodanen
dc.contributor.authorVidanović, Mirjanaen
dc.contributor.authorStanković, Miomiren
dc.date.accessioned2020-12-11T13:04:37Z-
dc.date.available2020-12-11T13:04:37Z-
dc.date.issued2006-01-01en
dc.identifier.issn0232-2064en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4386-
dc.description.abstractIn this article we deal with summation formulas for the series Σn=1∞ Jμ(nx)/nv referring partly to some results from our paper in J. Math. Anal. Appl. 247 (2000) 15-26. We show how these formulas arise from different representations of Bessel functions. In other words, we first apply Poisson's or Bessel's integral, then in the sequel we define a function by means of the power series representation of Bessel functions and make use of Poisson's formula. Also, closed form cases as well as those when it is necessary to take the limit have been thoroughly analyzed.en
dc.publisherEuropean Mathematical Society-
dc.relation.ispartofZeitschrift fur Analysis und ihre Anwendungen
dc.subjectBessel functions | Fourier's transform | Poisson's formula | Riemann's ζ-functionen
dc.titleOn the summation of series in terms of Bessel functionsen
dc.typeArticleen
dc.identifier.doi10.4171/ZAA/1296en
dc.identifier.scopus2-s2.0-33747682894en
dc.relation.firstpage393en
dc.relation.lastpage406en
dc.relation.issue3en
dc.relation.volume25en
dc.description.rankM23-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.grantfulltextnone-

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