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Radii of starlikeness of some special functions

ArticleAçık Erişim

Özet

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely. © 2016 American Mathematical Society.

Anahtar Kelimeler

Lommel functions of the first kindRadius of starlikenessStarlike functionsStruve functionsTrigonometric integralsUnivalentZeros of Lommel functions of the first kindZeros of Struve functions
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15215Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1090/proc/13120Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorBaricz, Àrpàd
dc.contributor.authorDimitrov, Dimitar K.
dc.contributor.authorOrhan, Halit
dc.contributor.authorYağmur, Nihat
dc.date.accessioned2026-10-18T20:29:59.969152789Z
dc.date.available2026-10-18T20:29:59.969152789Z
dc.date.issued2016
dc.description.abstractGeometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely. © 2016 American Mathematical Society.
dc.description.sponsorshipThe research of the first author was supported by the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, under Grant PN-II-RU-TE-2012-3-0190. The research of the second author was supported by the Brazilian foundations CNPq under Grant 307183/2013-0 and FAPESP under Grants 2009/13832-9. The research of the third and fourth authors was supported by Erzincan University Rectorship under The Scientific and Research Project of Erzincan University, project no. FEN-A-240215-0126.
dc.identifier.doi10.1090/proc/13120
dc.identifier.eissn1088-6826
dc.identifier.endpage3367
dc.identifier.issn0002-9939
dc.identifier.issue8
dc.identifier.scopus2-s2.0-84969759541
dc.identifier.startpage3355
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15215
dc.identifier.volume144
dc.identifier.wosWOS:000376342500016
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.relation.ispartofProceedings of the American Mathematical Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLommel functions of the first kind
dc.subjectRadius of starlikeness
dc.subjectStarlike functions
dc.subjectStruve functions
dc.subjectTrigonometric integrals
dc.subjectUnivalent
dc.subjectZeros of Lommel functions of the first kind
dc.subjectZeros of Struve functions
dc.titleRadii of starlikeness of some special functions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus54
rdl.citation.wos52
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)