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Geometric function theory --- Fonctions, Théorie géométrique des --- Geometric function theory. --- Function theory, Geometric --- Functions of complex variables --- Théorie géométrique des fonctions --- Funktionentheorie --- Komplexe Analysis --- Komplexe Funktionentheorie --- Analysis --- Komplexe Funktion
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Exposé de la théorie classique aussi bien qu'ouvrage d'histoire incompréhensible aux historiens classiques.
Functions of complex variables --- 517.53 --- 517.53 Functions of a complex variable --- Functions of a complex variable --- Complex variables --- Elliptic functions --- Functions of real variables --- Functions of complex variables. --- Funktion (Mathematik) --- Komplexe Funktion. --- Funktionentheorie. --- Funktionentheorie ; SWD-ID: 40189351 --- Fonctions d'une variable complexe --- Biholomorphic mappings --- Power series --- Conformality --- Complex functions --- Cauchy theory --- Laurent series --- Residue calculus --- Meromorphic functions --- Holomorphy --- Function theory
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This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results in this area. Recent results in geometric function theory presented here include the attractive steps on coefficient problems from Bieberbach to de Branges, applications of some hyperbolic characteristics of domains via Beardon-Pommerenke's theorem, a new interpretation of coefficient estimates as certain properties of the Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löwner and Teichmüller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems. The book will be of interest for researchers and postgraduate students in function theory and hyperbolic geometry.
Geometric function theory. --- Holomorphic functions. --- Ungleichung -- Funktionentheorie. --- Geometric function theory --- Holomorphic functions --- Applied Mathematics --- Calculus --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Functions, Holomorphic --- Function theory, Geometric --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Math --- Science --- Functions of several complex variables --- Functions of complex variables --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Geometry, Algebraic
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"Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, and other related fields."
Mathematical analysis --- Operator theory --- System theory --- Mathematical statistics --- Funktionentheorie --- Operatortheorie --- 517.1 Mathematical analysis --- Analyse mathématique --- Opérateurs, Théorie des --- Systèmes, Théorie des --- Statistique mathématique --- Mathematical analysis. --- Mathematical statistics. --- Operator theory. --- System theory. --- Functional analysis --- Systems, Theory of --- Systems science --- Science --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Philosophy --- Statistical methods --- Mathematical Sciences --- Applied Mathematics --- wiskunde --- mathematics --- systeemanalyse --- systems analysis --- operationeel onderzoek --- operations research --- waarschijnlijkheid --- probability --- statistiek --- statistics --- operateurs --- operators --- leertheorie --- learning theory --- computerwiskunde --- computational mathematics --- Toegepaste wiskunde --- Engineering sciences. Technology
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