The Theory of Extremal Problems for Univalent Functions of Class S

The Theory of Extremal Problems for Univalent Functions of Class S
Title The Theory of Extremal Problems for Univalent Functions of Class S PDF eBook
Author Konstantin Ivanovich Babenko
Publisher American Mathematical Soc.
Pages 348
Release 1975
Genre Mathematics
ISBN 9780821830017

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Discusses univalent functions and extremal problems.

Univalent Functions

Univalent Functions
Title Univalent Functions PDF eBook
Author P. L. Duren
Publisher Springer Science & Business Media
Pages 416
Release 2001-07-02
Genre Mathematics
ISBN 9780387907956

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Extremal Problems of the Geometric Theory of Functions

Extremal Problems of the Geometric Theory of Functions
Title Extremal Problems of the Geometric Theory of Functions PDF eBook
Author I︠U︡. E. Alenit︠s︡yn
Publisher American Mathematical Soc.
Pages 180
Release 1969
Genre Mathematics
ISBN 9780821818947

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"The present collection consists of papers on various problems in the geometric theory of functions of a complex variable." -- Preface.

Univalent Functions

Univalent Functions
Title Univalent Functions PDF eBook
Author Derek K. Thomas
Publisher Walter de Gruyter GmbH & Co KG
Pages 347
Release 2018-04-09
Genre Mathematics
ISBN 3110560127

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The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems

Geometric Function Theory in Higher Dimension

Geometric Function Theory in Higher Dimension
Title Geometric Function Theory in Higher Dimension PDF eBook
Author Filippo Bracci
Publisher Springer
Pages 185
Release 2018-03-24
Genre Mathematics
ISBN 3319731262

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The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

Harmonic and Complex Analysis and its Applications

Harmonic and Complex Analysis and its Applications
Title Harmonic and Complex Analysis and its Applications PDF eBook
Author Alexander Vasil'ev
Publisher Springer Science & Business Media
Pages 364
Release 2013-11-09
Genre Mathematics
ISBN 331901806X

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This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Geometric Methods in System Theory

Geometric Methods in System Theory
Title Geometric Methods in System Theory PDF eBook
Author D.Q. Mayne
Publisher Springer Science & Business Media
Pages 334
Release 1973-12-31
Genre Science
ISBN 9789027704153

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Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.