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Dissertations / Theses on the topic 'Analytic and Univalent functions'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

Kapçak, Sinan Ufuktepe Ünal. "Analytic Functions on Time Scales/." [s.l.]: [s.n.], 2007. http://library.iyte.edu.tr/tezler/master/matematik/T000643.pdf.

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9

Abobakr, Mona R. H. "Quantum circuit analysis using analytic functions." Thesis, University of Bradford, 2019. http://hdl.handle.net/10454/18330.

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In this thesis, classical computation is first introduced. Finite quantum systems are considered with D-dimensional Hilbert space, and position x and momentum p taking values in Z(D) (the integers modulo D). An analytic rep resentation of finite quantum systems that use Theta function is presented and considered. The first novel part of this thesis is contribution to study reversible classical CNOT gates and their binary inputs and outputs with reversible cir cuits. Furthermore, a reversible classical Toffoli gates are considered, as well as implementation of a Boolean expression with clas

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10

Mvondo-She, Yannick. "Analytic properties of the Jost functions." Diss., University of Pretoria, 2013. http://hdl.handle.net/2263/41122.

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Recently, was developed a new theory of the Jost function, within which, it was split in two terms involving on one side, singlevalued analytic functions of the energy, and on the other, factors responsible for the existence of the branching-points. For the single-valued part of the Jost function, a procedure for the powerseries expansion around an arbitrary point on the energy plane was suggested. However, this theory lacks a rigorous proof that these parts are entire functions of the energy. It also gives an intuitive (not rigorous) derivation of the domain where they are entire. In

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11

Evangelides, Pavlos. "Analytic representations of quantum systems with Theta functions." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/14366.

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Quantum systems in a d-dimensional Hilbert space are considered, where the phase spase is Z(d) x Z(d). An analytic representation in a cell S in the complex plane using Theta functions, is defined. The analytic functions have exactly d zeros in a cell S. The reproducing kernel plays a central role in this formalism. Wigner and Weyl functions are also studied. Quantum systems with positions in a circle S and momenta in Z are also studied. An analytic representation in a strip A in the complex plane is also defined. Coherent states on a circle are studied. The reproducing kernel is given. Wigner

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12

Henrysson, Magdalena. "Calculating zeros of analytic functions with MatLab." Thesis, Växjö University, School of Mathematics and Systems Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2027.

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<p>Betrakta en analytisk funktion f som beror av en komplex variabel z och ett ändligt antal reella parametrar param1, param2, ..., paramk, där k är ett positivt heltal. Rötterna till funktionen, med avseende på variabeln z, erhålls genom att lösa ekvationen f(z, param1, param2, ..., paramk)=0. Således kommer dessa rötter att vara beroende av parametrarna. Låt en av parametrarna paramj, där j är ett positivt heltal mindre än eller lika med k, vara monotont ökande eller avtagande på ett reellt intervall. Även funktionens rötter kommer att variera, till följd av de olika värdena på parametern pa

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13

Martín, Villaverde Rafael. "Local monomialization of generalized real analytic functions." Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00695968.

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Les fonctions analytiques généralisées sont définies par des séries convergentes de monômes à coeficients réels et exposants réels positifs. Nous étudions l'extension de la géométrie analytique réelle associée à ces algèbres de fonctions. Nous introduisons pour cela la notion de variété analytique réelle généralisée. Il s'agit de variétés topologiques à bord munies de la structure du faisceau des fonctions analytiques réelles généralisées. Notre résultat principal est un théorème de monomialisation locale de ces fonctions.

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14

White, Michael C. "Analytic multivalued functions and symmetrically normed ideals." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316751.

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15

Barclay, Steven John. "Banach spaces of analytic vector-valued functions." Thesis, University of Leeds, 2007. http://etheses.whiterose.ac.uk/167/.

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The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter 2. Then ideas involving approximations with inner and outer functions are used to solve a matrix analogue of the Douglas-Rudin problem in Chapter 3. In both cases, considerable considerable extra difficulties are created by the noncommutativity of mat

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16

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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17

Wang, Wei. "Ehrhart polynomial with analytic function weight /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?MATH%202007%20WANGW.

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18

Tyler, Thomas Francis. "Maximum curves of analytic functions and associated problems." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.405895.

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19

Darus, M. "Extreme problems for certain classes of analytic functions." Thesis, Swansea University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636350.

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This thesis is concerned with extreme problems for certain classes of analytic functions. In many cases, the classes of functions considered form proper subclasses of the class <I>S</I> of normalised analytic functions which are univalent in the unit disc <I>D. </I>In Chapter 1, we present some definitions and known results which are required in subsequent chapters. In Chapter 2, we state some known results concerning the so-called Fekete-Szegö Theorem. We give some extensions and new results in the case of close-to-convex functions. Chapter 3 contains some miscellaneous Fekete-Szegö Theorems.

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20

Dahne, Joel. "Enclosing Zeros for Systems of Two Analytic Functions." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-303883.

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21

Evdoridou, Vasiliki. "Rates of escape under iteration of analytic functions." Thesis, Open University, 2017. http://oro.open.ac.uk/48571/.

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In this thesis we focus on sets with a uniform rate of escape under the iteration of transcendental entire functions. We study their properties and their structure as well as using them as a tool to prove some interesting topological results. First, motivated by the work of Rippon and Stallard, we generalise the quite fast escaping set by introducing a family of sets that escape to infinity at a uniform rate associated with the maximum modulus of the function. We examine under which conditions these sets are equal to the fast escaping set, which plays an important role in the iteration of tran

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22

Hanine, Abdelouahab. "Cyclic vectors in some spaces of analytic functions." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4725.

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Cette thèse est consacrée à l'étude du problème de la cyclicité dans certains espaces de fonctions analytiques sur le disque unité. Nous nous intéressons aux espaces de type Bergman et aux espaces de type Korenblum. Dans la première partie, nous étudions les fonctions cycliques dans les espaces de type Korenblum en utilisant la notion des prémesures. Cette notion a été introduite et développée par B. Korenblum au début des années 1970s. En particulier, nous donnons une réponse positive à une conjecture énoncée par C. Deninger. Dans la deuxième partie, nous utilisons la méthode de la résolvante

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23

Buckley, Jeremiah. "Random zero sets of analytic functions and traces of functions in Fock spaces." Doctoral thesis, Universitat de Barcelona, 2013. http://hdl.handle.net/10803/119826.

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Interpolating and sampling sequences in spaces of functions are classical subjects in complex and harmonic analysis. A sequence of points is said to be interpolating if, given any collection of values, we can find a function from the space which takes these values on the points of the sequence, and a sequence of points is said to be sampling if it is possible to recover a function from the space knowing the values of the function on the sequence. In Fock spaces these sequences have been characterised in terms of a Beurling type density, that is, interpolating sequences are those sequences whos

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24

Kytmanov, Alexander, Simona Myslivets, and Nikolai Tarkhanov. "Analytic representation of CR Functions on hypersurfaces with singularities." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2563/.

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We prove a theorem on analytic representation of integrable CR functions on hypersurfaces with singular points. Moreover, the behaviour of representing analytic functions near singular points is investigated. We are aimed at explaining the new effect caused by the presence of a singularity rather than at treating the problem in full generality.

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25

Lennon, Catherine (Catherine Ann). "Arithmetic and analytic properties of finite field hypergeometric functions." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67791.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 97-100).<br>The intent of this thesis is to provide a detailed study of the arithmetic and analytic properties of Gaussian (finite field) hypergeometric series. We present expressions for the number of F,-points on certain families of varieties as special values of these functions. We also present "hypergeometric trace formulas" for the traces of Hecke operators on spaces of cusp forms of levels 3 and 9. These formulas lead to a

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26

Ebadi, Haleh. "Boolean functions and discrete dynamics: analytic and biological application." Doctoral thesis, Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-205944.

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Modeling complex gene interacting systems as Boolean networks lead to a significant simplification of computational investigation. This can be achieved by discretization of the expression level to ON or OFF states and classifying the interactions to inhibitory and activating. In this respect, Boolean functions are responsible for the evolution of the binary elements of the Boolean networks. In this thesis, we investigate the mostly used Boolean functions in modeling gene regulatory networks. Moreover, we introduce a new type of function with strong inhibitory namely the veto function. Our comp

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27

Kucik, Andrzej Stanislaw. "Spaces of analytic functions on the complex half-plane." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/17573/.

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In this thesis we present certain spaces of analytic functions on the complex half-plane, including the Hardy, the Bergman spaces, and their generalisation: Zen spaces. We use the latter to construct a new type of spaces, which include the Dirichlet and the Hardy-Sobolev spaces. We show that the Laplace transform defines an isometric map from the weighted L^2(0, ∞) spaces into these newly-constructed spaces. These spaces are reproducing kernel Hilbert spaces, and we employ their reproducing kernels to investigate their features. We compare corresponding spaces on the disk and on the half-plane

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28

Ström, David. "The Open Mapping Theorem for Analytic Functions and some applications." Thesis, Karlstad University, Faculty of Technology and Science, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-210.

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<p>This thesis deals with the Open Mapping Theorem for analytic functions on domains in the complex plane: A non-constant analytic function on an open subset of the complex plane is an open map.</p><p>As applications of this fundamental theorem we study Schwarz’s Lemma and its consequences concerning the groups of conformal automorphisms of the unit disk and of the upper halfplane.</p><p>In the last part of the thesis we indicate the first steps in hyperbolic geometry.</p><br><p>Denna uppsats behandlar satsen om öppna avbildningar för analytiska funktioner på domäner i det komplexa talplanet:

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29

Franzén, Salla. "The modulus of continuity of analytic functions and CR-geometry /." Uppsala, 2005. http://www.math.uu.se/research/pub/Franzenlic.pdf.

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30

Falco, Benavent Francisco Javier. "Complex approximation and fibers of Banach algebras of analytic functions." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1478016863252231.

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31

Figueirinhas, Diogo. "On the Properties of Gevreyand Ultra-analytic Spaces." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-55596.

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We look at the algebraic properties of Gevrey, analytic and ultraanalytic function spaces, namely their closure under composition, division and inversion. We show that both Gevrey and ultra-analytic spaces, G s with 1 ≤ s < ∞ and 0 < s < 1 respectively, form algebras. Closure under composition, division and inversion is shown to hold for the Gevrey case. For the ultra-analytic case we show it is not closed under composition. We also show that if a function is in G s , with 0 < s < 1 on a compact set, then it is in G s everywhere.

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32

Jabuni, Muna. "Analytic Representations of Finite Quantum Systems on a Torus." Thesis, University of Bradford, 2010. http://hdl.handle.net/10454/4856.

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Quantum systems with a finite Hilbert space, where position x and momen- tum p take values in Z(d) (integers modulo d), are studied. An analytic representation of finite quantum systems is considered. Quantum states are represented by analytic functions on a torus. This function has exactly d zeros, which define uniquely the quantum state. The analytic function of a state can be constructed using its zeros. As the system evolves in time, the d zeros follow d paths on the torus. Examples of the paths ³n(t) of the zeros, for various Hamiltonians, are given. In addition, for given paths ³n(t) of

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33

Rocha, Leno Silva. "Analytic hierarchy process to tune cost functions in optimal control problems." Instituto Tecnológico de Aeronáutica, 2014. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=3081.

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The optimal control theory has a sophisticated framework with powerful tools to solve practical problems in various fields of knowledge. However, this theory requires precise definition of the problems under consideration. In this respect, the correct weighting of the relative importance of the effects represented by aggregate elements to performance indexes is critical. The decision theory can help to overcome this mishap. In particular, the technique Analytic Hierarchy Process (AHP) is adequate for the task of consistently weigh the components of proposed performance indexes and has other ad

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34

Kong, Kar-lun, and 江嘉倫. "Some mean value theorems for certain error terms in analytic number theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/206432.

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35

Olupitan, Tominiyi E. "An analytic representation of weak mutually unbiased bases." Thesis, University of Bradford, 2016. http://hdl.handle.net/10454/15904.

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Quantum systems in the d-dimensional Hilbert space are considered. The mutually unbiased bases is a deep problem in this area. The problem of finding all mutually unbiased bases for higher (non-prime) dimension is still open. We derive an alternate approach to mutually unbiased bases by studying a weaker concept which we call weak mutually unbiased bases. We then compare three rather different structures. The first is weak mutually unbiased bases, for which the absolute value of the overlap of any two vectors in two different bases is 1/√k (where k∣d) or 0. The second is maximal lines through

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36

Trunk, Carsten. "Spectral properties of a class of analytic operator functions and their linearizations." [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=966141156.

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37

Mohammed, Najla Abdullah. "Grid refinement and verification estimates for the RBF construction method of Lyapunov functions." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/65711/.

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Lyapunov functions are functions with negative orbital derivative, whose existence guarantee the stability of an equilibrium point of an ODE. Moreover, sub-level sets of a Lyapunov function are subsets of the domain of attraction of the equilibrium. In this thesis, we improve an established numerical method to construct Lyapunov functions using the radial basis functions (RBF) collocation method. The RBF collocation method approximates the solution of linear PDE's using scattered collocation points, and one of its applications is the construction of Lyapunov functions. More precisely, we appro

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38

林啓任 and Kai-yam Lam. "Some results on the mean values of certain error terms in analytic number theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31214241.

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39

Lam, Kai-yam. "Some results on the mean values of certain error terms in analytic number theory /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B18611977.

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40

MATSUMOTO, KOHJI. "The Analytic Continuation and the Asymptotic Behaviour of Certain Multiple Zeta-Functions III." Rikkyo Daigaku, 2005. http://hdl.handle.net/2237/13846.

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41

De, Castro Lisa. "Analytic Functions with Real Boundary Values in Smirnov Classes E^p." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4661.

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This thesis concerns the classes of analytic functions on bounded, n-connected domains known as the Smirnov classes Ep, where p > 0. Functions in these classes satisfy a certain growth condition and have a relationship to the more well known classes of functions known as the Hardy classes Hp. In this thesis I will show how the geometry of a given domain will determine the existence of non-constant analytic functions in Smirnov classes that possess real boundary values. This is a phenomenon that does not occur among functions in the Hardy classes. The preliminary and background information is g

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42

Henthorn, Melanie Lea. "Examples of Diagonal Operators That Fail Spectral Synthesis on Spaces of Analytic Functions." Bowling Green State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1306437382.

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43

Juan, Huguet Jordi. "Iterates of differential operators and vector valued functions on non quasi analytic classes." Doctoral thesis, Universitat Politècnica de València, 2011. http://hdl.handle.net/10251/9401.

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En el año 1960 Komatsu introdujo ciertas clases de funciones infinitamente derivables definidas mediante estimaciones del crecimiento de los sucesivos iterados de un operador en derivadas parciales cuando estudiaba propiedades de regularidad de las soluciones de ciertas ecuaciones en derivadas parciales. Esta línea de investigación ha sido muy activa hasta la actualidad a través de los trabajos de muchos autores. Destacamos, entre otros, Bolley, Camus, Kotake, Langenbruch, Métivier, Narasimhan, Newberger, Rodino, Zanghirati y Zielezny. Toda esta bibliografía involucra el llamado problema de

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44

Zakaria, Siti Fatimah Binti. "Analytic properties of Potts and Ising model partition functions and the relationship between analytic properties and phase transitions in equilibrium statistical mechanics." Thesis, University of Leeds, 2016. http://etheses.whiterose.ac.uk/16323/.

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The Ising and $Q$-state Potts models are statistical mechanical models of spins interaction on crystal lattices. We study the partition functions on a range of lattices, particularly two- and three-dimensional cases. The study aims to investigate cooperative phenomena $-$ how higher level structure is affected by the detailed activity of a very large number of lower level structures. We investigate the analytic properties of the partition functions and their relationship to physical observables in equilibrium near phase transition. Our study is focussed on describing the partition function and

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45

Braun, H. T. F. "Model theory of holomorphic functions." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401108.

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This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed wi

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46

Mullen, Woodford Roger. "Partitions into prime powers and related divisor functions." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/1246.

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In this thesis, we will study a class of divisor functions: the prime symmetric functions. These are polynomials over Q in the so-called elementary prime symmetric functions, whose values lie in Z. The latter are defined on the nonnegative integers and take the values of the elementary symmetric functions applied to the multi-set of prime factors (with repetition) of an integer n. Initially we look at basic properties of prime symmetric functions, and consider analogues of questions posed for the usual sum of proper divisors function, such as those concerning perfect numbers or Aliquot sequen

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47

Ebadi, Haleh [Verfasser], and Pedro [Gutachter] Miramontes. "Boolean functions and discrete dynamics: analytic and biological application : Boolean functions and discretedynamics:analytic and biological application / Haleh Ebadi ; Gutachter: Pedro Miramontes." Leipzig : Universitätsbibliothek Leipzig, 2016. http://d-nb.info/1240482582/34.

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48

Wenger, Rephael. "Stabbing and separation." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=74054.

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49

Nisbet, Kenneth Charles. "Dynamics of mappings of the plane and of the circle." Thesis, University of Edinburgh, 1989. http://hdl.handle.net/1842/15533.

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50

Schreiber, Adam W. "Formulation of integral equations using analytic Green's functions in elliptic cylindrical and prolate spheroidal coordinates." Connect to this title online, 2007. http://etd.lib.clemson.edu/documents/1202499531/.

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