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Close-to-convexity of normalized Dini functions

ArticleAçık Erişim

Özet

In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions of the first kind. © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Anahtar Kelimeler

30C4533C10Bessel functions of the first kindclose-to-convex functionsinfinite productstarlike functionstranscendental entire functionszeros of Bessel functions
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14640Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1002/mana.201500009Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorBaricz, Árpád
dc.contributor.authorDeniz, Erhan
dc.contributor.authorYağmur, Nihat
dc.date.accessioned2026-10-18T20:29:26.561243205Z
dc.date.available2026-10-18T20:29:26.561243205Z
dc.date.issued2016
dc.description.abstractIn this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions of the first kind. © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
dc.description.sponsorshipThe research of A. Baricz was supported by the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, under Grant PN-II-RU-TE-2012-3-0190. The research of N. Yagmur was supported by Erzincan University Rectorship under The Scientific and Research Project of Erzincan University, project no. FEN-A-240215-0126.
dc.identifier.doi10.1002/mana.201500009
dc.identifier.eissn1522-2616
dc.identifier.endpage1726
dc.identifier.issn0025-584X
dc.identifier.issue14-15
dc.identifier.scopus2-s2.0-84991320881
dc.identifier.startpage1721
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14640
dc.identifier.volume289
dc.identifier.wosWOS:000386185200002
dc.language.isoen
dc.publisherWiley-VCH Verlag
dc.relation.ispartofMathematische Nachrichten
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject30C45
dc.subject33C10
dc.subjectBessel functions of the first kind
dc.subjectclose-to-convex functions
dc.subjectinfinite product
dc.subjectstarlike functions
dc.subjecttranscendental entire functions
dc.subjectzeros of Bessel functions
dc.titleClose-to-convexity of normalized Dini functions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus16
rdl.citation.wos18
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)