Some results on a subclass of multivalent harmonic mappings

Öztürk, Durdane

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.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.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	Purpose of Thesis	en_US
dc.description.tableofcontents	Analytic Functions	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.language.iso	eng	en_US
dc.publisher	Işık Üniversitesi	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	masterThesis	en_US
dc.contributor.department	Işık Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Yüksek Lisans Programı	en_US
dc.relation.publicationcategory	Tez	en_US
dc.contributor.institutionauthor	Öztürk, Durdane	en_US