Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
dc.authorid | 0000-0002-3884-3957 | |
dc.authorid | 0000-0002-4822-9571 | |
dc.contributor.author | Sakar, Fethiye Müge | en_US |
dc.contributor.author | Aydoğan, Seher Melike | en_US |
dc.date.accessioned | 2018-06-18T08:30:10Z | |
dc.date.available | 2018-06-18T08:30:10Z | |
dc.date.issued | 2018-02-15 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description.abstract | Let'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. | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Sakar, F. M. & Aydoğan, S. M. (2018). Subclass of m-quasiconformal harmonic functions in association with janowski starlike functions. Applied Mathematics and Computation, 319, 461-468. doi:10.1016/j.amc.2017.05.013 | en_US |
dc.identifier.doi | 10.1016/j.amc.2017.05.013 | |
dc.identifier.endpage | 468 | |
dc.identifier.issn | 0096-3003 | |
dc.identifier.issn | 1873-5649 | |
dc.identifier.scopus | 2-s2.0-85019374509 | |
dc.identifier.scopusquality | Q1 | |
dc.identifier.startpage | 461 | |
dc.identifier.uri | https://hdl.handle.net/11729/1299 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.amc.2017.05.013 | |
dc.identifier.volume | 319 | |
dc.identifier.wos | WOS:000415906200036 | |
dc.identifier.wosquality | Q1 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Aydoğan, Seher Melike | en_US |
dc.institutionauthorid | 0000-0002-4822-9571 | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Elsevier Science Inc | en_US |
dc.relation.ispartof | Applied Mathematics And Computation | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Starlike functions | en_US |
dc.subject | Harmonic mapping | en_US |
dc.subject | Distortion theorem | en_US |
dc.subject | Growth theorem | en_US |
dc.subject | Convex combination | en_US |
dc.subject | Convolution properties | en_US |
dc.subject | Mappings | en_US |
dc.subject | Convex | en_US |
dc.subject | Map | en_US |
dc.subject | Harmonic | en_US |
dc.subject | Convolution | en_US |
dc.subject | Functions | en_US |
dc.subject | Harmonic analysis | en_US |
dc.subject | 30C45 | en_US |
dc.subject | Convex combinations | en_US |
dc.subject | Distortion theorems | en_US |
dc.subject | Harmonic mappings | en_US |
dc.subject | Harmonic functions | en_US |
dc.title | Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |