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| Author | : Konstantin Ivanovich Babenko |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 348 |
| Release | : 1975 |
| Genre | : Mathematics |
| ISBN | : 9780821830017 |
Discusses univalent functions and extremal problems.
| Author | : P. L. Duren |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 414 |
| Release | : 2001-07-02 |
| Genre | : Mathematics |
| ISBN | : 9780387907956 |
| Author | : I︠U︡. E. Alenit︠s︡yn |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 180 |
| Release | : 1969 |
| Genre | : Mathematics |
| ISBN | : 9780821818947 |
"The present collection consists of papers on various problems in the geometric theory of functions of a complex variable." -- Preface.
| Author | : Derek K. Thomas |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 347 |
| Release | : 2018-04-09 |
| Genre | : Mathematics |
| ISBN | : 3110560127 |
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
| Author | : Filippo Bracci |
| Publisher | : Springer |
| Total Pages | : 185 |
| Release | : 2018-03-24 |
| Genre | : Mathematics |
| ISBN | : 3319731262 |
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.
| Author | : Alexander Vasil'ev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 364 |
| Release | : 2013-11-09 |
| Genre | : Mathematics |
| ISBN | : 331901806X |
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.
| Author | : D.Q. Mayne |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 334 |
| Release | : 1973-12-31 |
| Genre | : Science |
| ISBN | : 9789027704153 |
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.
| Author | : Santosh Joshi |
| Publisher | : Springer |
| Total Pages | : 258 |
| Release | : 2014-12-02 |
| Genre | : Mathematics |
| ISBN | : 8132221133 |
The book contains 13 articles, some of which are survey articles and others research papers. Written by eminent mathematicians, these articles were presented at the International Workshop on Complex Analysis and Its Applications held at Walchand College of Engineering, Sangli. All the contributing authors are actively engaged in research fields related to the topic of the book. The workshop offered a comprehensive exposition of the recent developments in geometric functions theory, planar harmonic mappings, entire and meromorphic functions and their applications, both theoretical and computational. The recent developments in complex analysis and its applications play a crucial role in research in many disciplines.
| Author | : Shigeyoshi Owa |
| Publisher | : World Scientific |
| Total Pages | : 475 |
| Release | : 1992-12-31 |
| Genre | : Mathematics |
| ISBN | : 9814505692 |
This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.
