DC FieldValueLanguage
dc.contributor.authorTričković, Slobodanen
dc.contributor.authorStanković, Miomiren
dc.contributor.authorVidanović, Mirjanaen
dc.date.accessioned2020-12-11T13:04:25Z-
dc.date.available2020-12-11T13:04:25Z-
dc.date.issued2020-05-03en
dc.identifier.issn1065-2469en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4294-
dc.description.abstractSchlömilch's series is named after the German mathematician Oscar Xavier Schlömilch, who derived it in 1857 as a Fourier series type expansion in terms of the Bessel function of the first kind. However, except for Bessel functions, here we consider an expansion in terms of Struve functions or Bessel and Struve integrals as well. The method for obtaining a sum of Schlömilch's series in terms of the Bessel or Struve functions is based on the summation of trigonometric series, which can be represented in terms of the Riemann zeta and related functions of reciprocal powers and in certain cases can be brought in the closed form, meaning that the infinite series are represented by finite sums. By using Krylov's method we obtain the convergence acceleration of the trigonometric series.en
dc.publisherTaylor & Francis-
dc.relation.ispartofIntegral Transforms and Special Functionsen
dc.subject65B10 | Bessel functions | Primary: 33C10 | Secondary: 11M06 | the Riemann zeta and Dirichlet functionsen
dc.titleOn the summation of Schlömilch's seriesen
dc.typeOtheren
dc.identifier.doi10.1080/10652469.2019.1695129en
dc.identifier.scopus2-s2.0-85075741392en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage339en
dc.relation.lastpage367en
dc.relation.issue5en
dc.relation.volume31en
dc.description.rankM22-
item.cerifentitytypePublications-
item.openairetypeOther-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
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