On application of Euler's differential method to a continued fraction depending on parameter

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dc.contributor.authorBashirov, Agamirza E.
dc.contributor.authorBelaghi, Mahmoud Jafari Shah
dc.date.accessioned2026-02-06T18:35:56Z
dc.date.issued2014
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper we apply Euler's differential method, which was not used by mathematicians for a long time, to derive a new formula for a certain kind irregular continued fraction depending on a parameter. This formula is in the form of the ratio of two integrals. In case of integer values of the parameter, the formula reduces to the ratio of two finite sums. Asymptotic behavior of this continued fraction is investigated numerically and it is shown that it increases in the same rate as the root function.
dc.identifier.doi10.1007/s13226-014-0063-x
dc.identifier.endpage295
dc.identifier.issn0019-5588
dc.identifier.issn0975-7465
dc.identifier.issue3
dc.identifier.orcid0000-0002-3083-6314
dc.identifier.scopus2-s2.0-84902523766
dc.identifier.scopusqualityQ3
dc.identifier.startpage285
dc.identifier.urihttps://doi.org/10.1007/s13226-014-0063-x
dc.identifier.urihttps://hdl.handle.net/11129/12141
dc.identifier.volume45
dc.identifier.wosWOS:000336987500002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIndian Nat Sci Acad
dc.relation.ispartofIndian Journal of Pure & Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectContinued fraction
dc.subjectEuler's differential method
dc.titleOn application of Euler's differential method to a continued fraction depending on parameter
dc.typeArticle

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