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BOUNDS FOR THE RADII OF UNIVALENCE OF SOME SPECIAL FUNCTIONS

dc.contributor.authorAktas, Ibrahim
dc.contributor.authorBaricz, Arpad
dc.contributor.authorYagmur, Nihat
dc.date.accessioned2021-11-09T19:49:44Z
dc.date.available2021-11-09T19:49:44Z
dc.date.issued2017
dc.identifier.issn1331-4343
dc.identifier.urihttps://doi.org/10.7153/mia-20-52
dc.identifier.urihttps://hdl.handle.net/20.500.12440/4115
dc.description.abstractTight lower and upper bounds for the radii of univalence (and starlikeness) of some normalized Bessel, Struve and Lommel functions of the first kind are obtained via Euler-Rayleigh inequalities. It is shown also that the radius of univalence of the Struve functions is greater than the corresponding radius of univalence of Bessel functions. Moreover, by using the idea of Kreyszig and Todd, and Wilf it is proved that the radii of univalence of some normalized Struve and Lommel functions are exactly the radii of starlikeness of the same functions, and they are actually solutions of some functional equations. The Laguerre-Polya class of entire functions plays an important role in our study.en_US
dc.description.sponsorshipRomanian National Authority for Scientific Research, CNCS-UEFISCDI [PN-II-RU-TE-2012-3-0190]en_US
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.en_US
dc.language.isoengen_US
dc.publisherElementen_US
dc.relation.ispartofMathematical Inequalities & Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLommelen_US
dc.subjectStruve and Bessel functionsen_US
dc.subjectunivalenten_US
dc.subjectstarlike functionsen_US
dc.subjectradius of univalence and starlikenessen_US
dc.subjectzeros of Lommelen_US
dc.subjectStruve and Bessel functionsen_US
dc.subjectMittag-Leffler expansionsen_US
dc.subjectLaguerre-Polya class of entire functionsen_US
dc.titleBOUNDS FOR THE RADII OF UNIVALENCE OF SOME SPECIAL FUNCTIONSen_US
dc.typearticleen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.description.wospublicationidWOS:000412831000011en_US
dc.description.scopuspublicationid2-s2.0-85020791345en_US
dc.departmentGümüşhane Üniversitesien_US
dc.authoridAktas, Ibrahim / 0000-0003-4570-4485
dc.identifier.volume20en_US
dc.identifier.issue3en_US
dc.identifier.startpage825en_US
dc.identifier.doi10.7153/mia-20-52
dc.identifier.endpage843en_US
dc.authorwosidBaricz, Arpad / F-3622-2012
dc.authorwosidAktas, Ibrahim / J-2823-2019
dc.authorscopusid56604866800
dc.authorscopusid23388704400
dc.authorscopusid54386291300


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