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Author : P. L. Duren
Publisher : Springer Science & Business Media
ISBN 13 : 9780387907956
Total Pages : 414 pages
Book Rating : 4.9/5 (79 download)
Download or read book Univalent Functions written by P. L. Duren and published by Springer Science & Business Media. This book was released on 2001-07-02 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James A. Jenkins
Publisher : Springer Science & Business Media
ISBN 13 : 3642885632
Total Pages : 176 pages
Book Rating : 4.6/5 (428 download)
Download or read book Univalent Functions and Conformal Mapping written by James A. Jenkins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the application of the method of the extremal metric to the theory of univalent functions. Apart from an introductory chapter in which a brief survey of the development of this theory is given there is therefore no attempt to follow up other methods of treatment. Nevertheless such is the power of the present method that it is possible to include the great majority of known results on univalent functions. It should be mentioned also that the discussion of the method of the extremal metric is directed toward its application to univalent functions, there being no space to present its numerous other applications, particularly to questions of quasiconformal mapping. Also it should be said that there has been no attempt to provide an exhaustive biblio graphy, reference normally being confined to those sources actually quoted in the text. The central theme of our work is the General Coefficient Theorem which contains as special cases a great many of the known results on univalent functions. In a final chapter we give also a number of appli cations of the method of symmetrization. At the time of writing of this monograph the author has been re ceiving support from the National Science Foundation for which he wishes to express his gratitude. His thanks are due also to Sister BARBARA ANN Foos for the use of notes taken at the author's lectures in Geo metric Function Theory at the University of Notre Dame in 1955-1956.
Author : O. Lehto
Publisher : Springer Science & Business Media
ISBN 13 : 1461386527
Total Pages : 271 pages
Book Rating : 4.4/5 (613 download)
Download or read book Univalent Functions and Teichmüller Spaces written by O. Lehto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at the University of Minnesota in 1982. The book presumably would never have been written without Fred Gehring's continuous encouragement. Thanks to the arrangements made by Edgar Reich and David Storvick, I was able to spend the fall term of 1982 in Minneapolis and do a good part of the writing there. Back in Finland, other commitments delayed the completion of the text. At the final stages of preparing the manuscript, I was assisted first by Mika Seppala and then by Jouni Luukkainen, who both had a grant from the Academy of Finland. I am greatly indebted to them for the improvements they made in the text. I also received valuable advice and criticism from Kari Astala, Richard Fehlmann, Barbara Flinn, Fred Gehring, Pentti Jarvi, Irwin Kra, Matti Lehtinen, I1ppo Louhivaara, Bruce Palka, Kurt Strebel, Kalevi Suominen, Pekka Tukia and Kalle Virtanen. To all of them I would like to express my gratitude. Raili Pauninsalo deserves special thanks for her patience and great care in typing the manuscript. Finally, I thank the editors for accepting my text in Springer-Verlag's well known series. Helsinki, Finland June 1986 Olli Lehto Contents Preface. ... v Introduction ...
Author : Derek K. Thomas
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110560968
Total Pages : 268 pages
Book Rating : 4.1/5 (15 download)
Download or read book Univalent Functions written by Derek K. Thomas and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Adolph Winkler Goodman
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Univalent Functions written by Adolph Winkler Goodman and published by . This book was released on 1983 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marvin Rosenblum
Publisher : Springer Science & Business Media
ISBN 13 : 9783764351113
Total Pages : 272 pages
Book Rating : 4.3/5 (511 download)
Download or read book Topics in Hardy Classes and Univalent Functions written by Marvin Rosenblum and published by Springer Science & Business Media. This book was released on 1994-09-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.
Author : Sanford S. Miller
Publisher : CRC Press
ISBN 13 : 1482289814
Total Pages : 481 pages
Book Rating : 4.4/5 (822 download)
Download or read book Differential Subordinations written by Sanford S. Miller and published by CRC Press. This book was released on 2000-01-03 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordinations."
Author : G. Schober
Publisher : Springer
ISBN 13 : 3540375872
Total Pages : 208 pages
Book Rating : 4.5/5 (43 download)
Download or read book Univalent Functions - Selected Topics written by G. Schober and published by Springer. This book was released on 2006-11-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
ISBN 13 : 0387216073
Total Pages : 508 pages
Book Rating : 4.3/5 (872 download)
Download or read book Complex Analysis written by Theodore W. Gamelin and published by Springer Science & Business Media. This book was released on 2013-11-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
Author : Marvin Rosenblum
Publisher : Birkhäuser
ISBN 13 : 3034885202
Total Pages : 258 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topics in Hardy Classes and Univalent Functions written by Marvin Rosenblum and published by Birkhäuser. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.
Author : Albert Baernstein (II)
Publisher : American Mathematical Soc.
ISBN 13 : 0821815210
Total Pages : 238 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof written by Albert Baernstein (II) and published by American Mathematical Soc.. This book was released on 1986 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Louis de Branges of Purdue University is recognized as the mathematician who proved Bieberbach's conjecture. This book offers insight into the nature of the conjecture, its history and its proof. It is suitable for research mathematicians and analysts.
Author : James Allister Jenkins
Publisher : Springer-Verlag
ISBN 13 : 3662344475
Total Pages : 176 pages
Book Rating : 4.6/5 (623 download)
Download or read book Univalent Functions and Conformal Mapping written by James Allister Jenkins and published by Springer-Verlag. This book was released on 2013-11-11 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the application of the method of the extremal metric to the theory of univalent functions. Apart from an introductory chapter in which a brief survey of the development of this theory is given there is therefore no attempt to follow up other methods of treatment. Nevertheless such is the power of the present method that it is possible to include the great majority of known results on univalent functions. It should be mentioned also that the discussion of the method of the extremal metric is directed toward its application to univalent functions, there being no space to present its numerous other applications, particularly to questions of quasiconformal mapping. Also it should be said that there has been no attempt to provide an exhaustive biblio graphy, reference normally being confined to those sources actually quoted in the text. The central theme of our work is the General Coefficient Theorem which contains as special cases a great many of the known results on univalent functions. In a final chapter we give also a number of appli cations of the method of symmetrization. At the time of writing of this monograph the author has been re ceiving support from the National Science Foundation for which he wishes to express his gratitude. His thanks are due also to Sister BARBARA ANN Foos for the use of notes taken at the author's lectures in Geo metric Function Theory at the University of Notre Dame in 1955-1956.
Author : Christian Pommerenke
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.3/5 (91 download)
Download or read book Univalent functions written by Christian Pommerenke and published by . This book was released on 1975 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sorin G. Gal
Publisher : Nova Publishers
ISBN 13 : 9781590333648
Total Pages : 340 pages
Book Rating : 4.3/5 (336 download)
Download or read book Introduction to Geometric Function Theory of Hypercomplex Variables written by Sorin G. Gal and published by Nova Publishers. This book was released on 2002 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Geometric Function Theory of Hypercomplex Variables
Author : Mario Gonzalez
Publisher : Routledge
ISBN 13 : 1351459376
Total Pages : 552 pages
Book Rating : 4.3/5 (514 download)
Download or read book Complex Analysis written by Mario Gonzalez and published by Routledge. This book was released on 2018-03-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Author : Ian Graham
Publisher : CRC Press
ISBN 13 : 9780203911624
Total Pages : 572 pages
Book Rating : 4.9/5 (116 download)
Download or read book Geometric Function Theory in One and Higher Dimensions written by Ian Graham and published by CRC Press. This book was released on 2003-03-18 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in
Author : H. M. Srivastava
Publisher : World Scientific
ISBN 13 : 9789810209322
Total Pages : 480 pages
Book Rating : 4.2/5 (93 download)
Download or read book Current Topics in Analytic Function Theory written by H. M. Srivastava and published by World Scientific. This book was released on 1992 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
