Some results on a subclass of multivalent harmonic mappings
dc.contributor.advisor | Aydoğan, Seher Melike | en_US |
dc.contributor.author | Öztürk, Durdane | en_US |
dc.contributor.other | Işık Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Yüksek Lisans Programı | en_US |
dc.date.accessioned | 2020-02-24T22:58:23Z | |
dc.date.available | 2020-02-24T22:58:23Z | |
dc.date.issued | 2015 | |
dc.department | Işık Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Yüksek Lisans Programı | en_US |
dc.description | Text in English ; Abstract: Turkish and English | en_US |
dc.description | Includes bibliographical references (leaves 50-52) | en_US |
dc.description | vi, 54 leaves | en_US |
dc.description.abstract | In this thesis, the fundamental function classes and their properties are introduced. Some results that we can generalize to multivalent functions are obtained. Next, as the main part of the study, a new subclass of sense-preserving multivalent harmonic mappings in the open unit disc is defined. Furthermore, distortion inequalities and growth theorems for the functions of this new class are determined. | en_US |
dc.description.abstract | Bu tezde, temel fonksiyon sınıfları ve özellikleri tanıtıldı. Multivalent fonksiyonlara genelleştirebileceğimiz bazı sonuçlar elde edildi. Daha sonra, çalışmanın ana kısmı olarak, birim diskte yön koruyan multivalent harmonik tasvirlerin yeni bir alt sınıfı tanımlandı. Ayrıca bu yeni sınıfın fonksiyonları için distorsiyon eşitsizlikleri ve genişleme teoremleri belirlendi. | en_US |
dc.description.tableofcontents | Conformal Mapping | en_US |
dc.description.tableofcontents | Linear Transformations | en_US |
dc.description.tableofcontents | Linear Fractional Transformations | en_US |
dc.description.tableofcontents | Univalent Functions | en_US |
dc.description.tableofcontents | Properties of Univalent Functions | en_US |
dc.description.tableofcontents | Coefficient Estimates | en_US |
dc.description.tableofcontents | Subclasses of Univalent Functions | en_US |
dc.description.tableofcontents | Functions with Positive Real Part | en_US |
dc.description.tableofcontents | Starlike Functions | en_US |
dc.description.tableofcontents | Convex Functions | en_US |
dc.description.tableofcontents | Starlike and Convex Functions of Order α | en_US |
dc.description.tableofcontents | Close-to-Convex Functions | en_US |
dc.description.tableofcontents | Harmonic Functions | en_US |
dc.description.tableofcontents | Harmonic Mappings | en_US |
dc.description.tableofcontents | Subclasses of Harmonic Functions | en_US |
dc.description.tableofcontents | Starlike Harmonic Functions | en_US |
dc.description.tableofcontents | Multivalent Functions | en_US |
dc.description.tableofcontents | Subclasses of Multivalent Functions | en_US |
dc.description.tableofcontents | p - valent Analytic Functions | en_US |
dc.description.tableofcontents | p - valent Starlike Functions | en_US |
dc.description.tableofcontents | p - valent Convex Functions | en_US |
dc.description.tableofcontents | Some Results on a Subclass of Multivalent Harmonic Functions | en_US |
dc.identifier.citation | Öztürk, D. (2015). Some results on a subclass of multivalent harmonic mappings. İstanbul: Işık Üniversitesi Fen Bilimleri Enstitüsü. | en_US |
dc.identifier.uri | https://hdl.handle.net/11729/2261 | |
dc.institutionauthor | Öztürk, Durdane | en_US |
dc.language.iso | en | en_US |
dc.publisher | Işık Üniversitesi | en_US |
dc.relation.publicationcategory | Tez | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject.lcc | QA278 .O98 2015 | |
dc.subject.lcsh | Multivariate analysis | en_US |
dc.title | Some results on a subclass of multivalent harmonic mappings | en_US |
dc.title.alternative | Multivalent harmonik tasvirlerin bir alt sınıfında bazı sonuçlar | en_US |
dc.type | Master Thesis | en_US |
dspace.entity.type | Publication |