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Dissertations / Theses on the topic 'Univalent functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Bertoni, Vanessa. ""Funções e polinômios univalentes: algumas propriedades e aplicações"." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-11092006-162445/.

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O objetivo principal deste trabalho é o estudo das funções univalentes e de suas propriedades. Este estudo é direcionado principalmente aos polinômios univalentes e à investigação de prolemas extremos envolvendo seus coeficientes, seus zeros e suas propriedades geométricas. Encontramos uma relação interessante entre os polinômios univalentes e os polinômios univalentes definida por Suffridge. Geramos várias funções univalentes estreladas e convexas através de suas propriedades geométricas e da localização de seus zeros.<br>The main aim of this work is the study of univalent functions and their
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2

Knapp, Cory. "Partial functions and recursion in univalent type theory." Thesis, University of Birmingham, 2018. http://etheses.bham.ac.uk//id/eprint/8448/.

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We investigate partial functions and computability theory from within a constructive, univalent type theory. The focus is on placing computability into a larger mathematical context, rather than on a complete development of computability theory. We begin with a treatment of partial functions, using the notion of dominance, which is used in synthetic domain theory to discuss classes of partial maps. We relate this and other ideas from synthetic domain theory to other approaches to partiality in type theory. We show that the notion of dominance is difficult to apply in our setting: the set of �0
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3

Sola, Alan. "Bergman space methods and integral means spectra of univalent functions." Licentiate thesis, Stockholm : Matematik, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4354.

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4

Taylor, Stephen M. "On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1851.pdf.

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5

Jahangiri-Lahekani, M. "Coefficients of powers of subclasses of univalent functions and convolutions of some classes of polynomials and analytic functions." Thesis, University of York, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356834.

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6

Pohl, Daniel [Verfasser], Oliver [Gutachter] Roth, and Jürgen [Gutachter] Müller. "Universal Locally Univalent Functions and Universal Conformal Metrics / Daniel Pohl ; Gutachter: Oliver Roth, Jürgen Müller." Würzburg : Universität Würzburg, 2019. http://d-nb.info/1180286685/34.

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7

Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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8

Amsheri, Somia M. A. "Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of -valent functions with negative coefficients in the open unit disk such as classes of -valent starlike func
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9

Amsheri, Somia Muftah Ahmed. "Fractional calculus operator and its applications to certain classes of analytic functions : a study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and ρ-valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of ρ-valent functions with negative coefficients in the open unit disk such as classes of ρ-valent starlike f
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10

Schippers, Eric. "The calculus of conformal metrics and univalence criteria for holomorphic functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0021/NQ45740.pdf.

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11

KHATTER, KANIKA. "COEFFICIENT ESTIMATES AND SUBORDINATION FOR UNIVALENT FUNCTIONS." Thesis, 2018. http://dspace.dtu.ac.in:8080/jspui/handle/repository/16433.

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Univalent function theory is a branch of geometric function theory which comprises of the various geometric properties of analytic functions. The first milestone in the field of univalent functions theory was achieved by Bieberbach in the year 1916, wherein he proved the second coefficient bound for a function f ∈ S of normalised analytic univalent functions. He also proposed a conjecture for the nth coefficient of the function in the class S in the same year. Bieberbach’s Conjecture states that the coefficients of thethefunction f ∈S satisfy|an|≤nforn = 2,3,4,··· withequalityifandonlyifholds if f
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12

Pohl, Daniel. "Universal Locally Univalent Functions and Universal Conformal Metrics." Doctoral thesis, 2019. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-177174.

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The work at hand discusses various universality results for locally univalent and conformal metrics. In Chapter 2 several interesting approximation results are discussed. Runge-type Theorems for holomorphic and meromorphic locally univalent functions are shown. A well-known local approximation theorem for harmonic functions due to Keldysh is generalized to solutions of the curvature equation. In Chapter 3 and 4 these approximation theorems are used to establish universality results for locally univalent functions and conformal metrics. In particular locally univalent analogues for well-known u
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13

Latha, S. "Some studies in the theory of univalent and multivalent functions." Thesis, 1994. http://hdl.handle.net/2009/1415.

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14

Sahoo, Sueet Millon. "Understanding the Rie- mann hypothesis and basic theory of univalent functions." Thesis, 2012. http://ethesis.nitrkl.ac.in/3676/1/msc-thesis.pdf.

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In this thesis, we study the following topics in complex analysis:- (1) Riemann Mapping theorem. (2) Riemann’s zeta function. (3) Basic univalent function theory. We also study the famous unsolved problem, the Riemann Hypothesis during the course and establish a relation between Riemann zeta function and number theory through Eu- ler’s theorem. Lastly, we focus on some basic univalent function theory, which leads us to understand the Bieberbach conjecture.
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15

Ibrahim, Alawiah. "Some Inequalities Concerning Power Series and Their Interaction With Univalent Function Theory." Thesis, 2014. https://vuir.vu.edu.au/25359/.

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Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a major part in Complex Analysis. The purpose of this dissertation is to employ analytic functions defined by power series in two different directions. The first of these discussed in Part I, mainly contributes to Analytic Inequalities in Real and Complex Analysis, while the second direction discussed in Part II, deals with Analytic and Univalent Function Theory.
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