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Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula

dc.creatorCvijović, Đurđe
dc.creatorPogany, Tibor K.
dc.date.accessioned2021-03-02T09:33:10Z
dc.date.available2021-03-02T09:33:10Z
dc.date.issued2020
dc.identifier.issn2297-0215
dc.identifier.urihttps://vinar.vin.bg.ac.rs/handle/123456789/8999
dc.description.abstractThe second type Neumann series are considered which building blocks are Nicholson’s and the Dixon–Ferrar formulae for (Formula Presented). Related closed form double definite integral expressions are established by using the associated Dirichlet’s series Cahen’s Laplace integral for the Nicholson’s case. However, using Dixon–Ferrar formula a double definite integral expression is again obtained. Certain Open Problems are posed in the last section of the chapter.en
dc.language.isoen
dc.relationNAWA project [PROM PPI/PRO/2018/1/00008]
dc.rightsrestrictedAccess
dc.sourceTrends in Mathematics
dc.subjectBessel function of the first kind Jνen
dc.subjectBessel function of the second kind Yνen
dc.subjectCahen’s Laplace integral formulaen
dc.subjectDixon–Ferrar formulaen
dc.subjectIntegral representation formulaen
dc.subjectModified Bessel function of the second kind Kνen
dc.subjectNeumann series of Bessel functionsen
dc.subjectNicholson’s formulaen
dc.titleSecond Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formulaen
dc.typebookPart
dc.rights.licenseARR
dcterms.abstractЦвијовић, Ђурђе; Поганy, Тибор К.;
dc.rights.holder© 2020, Springer Nature Switzerland AG
dc.citation.spage67
dc.citation.epage84
dc.identifier.doi10.1007/978-3-030-35914-0_4
dc.type.versionpublishedVersion
dc.identifier.scopus2-s2.0-85084649688


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