Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions

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dc.contributor.authorSakar, F. M.
dc.contributor.authorAydogan, M.
dc.date.accessioned2024-04-24T16:10:46Z
dc.date.available2024-04-24T16:10:46Z
dc.date.issued2018
dc.departmentDicle Üniversitesien_US
dc.description.abstractLet's take f(z) = h (z) + <(g(z))over bar> which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar < 1}. If f (z) fulfills vertical bar w(z)vertical bar = |g'(z)/h'(z)vertical bar < m, where 0 <= m < 1, then f(z) is known m-quasiconformal harmonic function in the unit disc (Kalaj, 2010) [8]. This class is represented by S-H(m). The goal of this study is to introduce certain features of the solution for non- linear partial differential equation <(f)over bar>((z) over bar) = w(z)f(z) when vertical bar w(z)vertical bar < m, w(z) (sic) m(2)(b(1)-z)/m(2)-b(1)z, h(z) is an element of S*(A, B). In such case S*(A, B) is known to be the class for Janowski starlike functions. We will investigate growth theorems, distortion theorems, jacobian bounds and coefficient ineqaulities, convex combination and convolution properties for this subclass. (C) 2017 Published by Elsevier Inc.en_US
dc.identifier.doi10.1016/j.amc.2017.05.013
dc.identifier.endpage468en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-85019374509
dc.identifier.scopusqualityQ1
dc.identifier.startpage461en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2017.05.013
dc.identifier.urihttps://hdl.handle.net/11468/15099
dc.identifier.volume319en_US
dc.identifier.wosWOS:000415906200036
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStarlike Functionsen_US
dc.subjectHarmonic Mappingen_US
dc.subjectDistortion Theoremen_US
dc.subjectGrowth Theoremen_US
dc.subjectConvex Combinationen_US
dc.subjectConvolution Propertiesen_US
dc.titleSubclass of m-quasiconformal harmonic functions in association with Janowski starlike functionsen_US
dc.titleSubclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
dc.typeArticleen_US

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