Some results on a starlike log-harmonic mapping of order alpha

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dc.authorid0000-0002-4822-9571
dc.contributor.authorAydoğan, Seher Melikeen_US
dc.date.accessioned2015-01-15T23:02:52Z
dc.date.available2015-01-15T23:02:52Z
dc.date.issued2014-01-15
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractLet H(D) be the linear space of all analytic functions defined on the open unit disc D = z is an element of C : vertical bar z vertical bar < 1. A sense preserving log-harmonic mapping is the solution of the non-linear elliptic partial differential equation f(z) = w(z)f(z)(f(z)/f) where w(z) is an element of H (D) is the second dilatation off such that vertical bar w(z)vertical bar < 1 for all z is an element of D.A sense preserving log-harmonic mapping is a solution of the non-linear elliptic partial differential equation fz f((z) over bar)/(f) over bar = w(z).f(z)/f (0.1) where w(z) the second dilatation off and w(z) is an element of H(D), vertical bar w(z)vertical bar < 1 for every z is an element of D. It has been shown that if f is a non-vanishing log-harmonic mapping, then f can be expressed as f(z) = h(z)<(g(z))over bar> (0.2) where h(z) and g(z) are analytic in D with the normalization h(0) not equal 0, g(0) = 1. On the other hand if f vanishes at z = 0, but it is not identically zero, then f admits the following representation f(z) = z.z(2 beta)h(z)<(g(z))over bar> (0.3) where Re beta > -1/2, h(z) and g(z) are analytic in the open disc D with the normalization h(0) not equal 0, g(0) = 1 (Abdulhadi and Bshouty, 1988) [2], (Abdulhadi and Hengartner, 1996) [3].In the present paper, we will give the extent of the idea, which was introduced by Abdulhadi and Bshouty (1988) [2]. One of the interesting applications of this extent idea is an investigation of the subclass of log-harmonic mappings for starlike log-harmonic mappings of order alpha.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAydoğan, S. M. (2014). Some results on a starlike log-harmonic mapping of order alpha. Journal of Computational and Applied Mathematics, 256, 77-82. doi:10.1016/j.cam.2013.07.008en_US
dc.identifier.doi10.1016/j.cam.2013.07.008
dc.identifier.endpage82
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-84882784059
dc.identifier.scopusqualityQ2
dc.identifier.startpage77
dc.identifier.urihttps://hdl.handle.net/11729/551
dc.identifier.urihttp://dx.doi.org/10.1016/j.cam.2013.07.008
dc.identifier.volume256
dc.identifier.wosWOS:000325665900006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorAydoğan, Seher Melikeen_US
dc.institutionauthorid0000-0002-4822-9571
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Science BVen_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLog-harmonic mappingsen_US
dc.subjectStarlike functionen_US
dc.subjectDistortion theoremen_US
dc.subjectAnalytic functionsen_US
dc.subjectDistortion theoremsen_US
dc.subjectElliptic partial differential equationen_US
dc.subjectLinear spacesen_US
dc.subjectStarlike functionsen_US
dc.subjectUnit discen_US
dc.subjectPartial differential equationsen_US
dc.subjectHarmonic functionsen_US
dc.titleSome results on a starlike log-harmonic mapping of order alphaen_US
dc.typeArticleen_US
dspace.entity.typePublication

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