Univalent Functions - Selected Topics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Univalent Functions - Selected Topics PDF full book. Access full book title Univalent Functions - Selected Topics by G. Schober. Download full books in PDF and EPUB format.
Author: G. Schober
Publisher: Springer
ISBN: 3540375872
Category : Mathematics
Languages : en
Pages : 208
Get Book
Book Description
Author: G. Schober
Publisher: Springer
ISBN: 3540375872
Category : Mathematics
Languages : en
Pages : 208
Get Book
Book Description
Author: Glenn Schober
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0
Get Book
Book Description
Author: Hemen Dutta
Publisher: CRC Press
ISBN: 1000204219
Category : Mathematics
Languages : en
Pages : 339
Get Book
Book Description
Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.
Author: P. L. Duren
Publisher: Springer Science & Business Media
ISBN: 9780387907956
Category : Mathematics
Languages : en
Pages : 414
Get Book
Book Description
Author: Maurice Heins
Publisher: Courier Corporation
ISBN: 0486789764
Category : Mathematics
Languages : en
Pages : 180
Get Book
Book Description
Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.
Author: Marvin Rosenblum
Publisher: Birkhäuser
ISBN: 3034885202
Category : Mathematics
Languages : en
Pages : 258
Get Book
Book Description
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: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1480
Get Book
Book Description
Author: Dorothy Brown Shaffer
Publisher: American Mathematical Soc.
ISBN: 0821850377
Category : Mathematics
Languages : en
Pages : 141
Get Book
Book Description
Most of the mathematical ideas presented in this volume are based on papers given at an AMS meeting held at Fairfield University in October 1983. The unifying theme of the talks was Geometric Function Theory. Papers in this volume generally represent extended versions of the talks presented by the authors. In addition, the proceedings contain several papers that could not be given in person. A few of the papers have been expanded to include further research results obtained in the time between the conference and submission of manuscripts. In most cases, an expository section or history of recent research has been added. The authors' new research results are incorporated into this more general framework. The collection represents a survey of research carried out in recent years in a variety of topics. The paper by Y. J. Leung deals with the Loewner equation, classical results on coefficient bodies and modern optimal control theory.Glenn Schober writes about the class $\Sigma$, its support points and extremal configurations. Peter Duren deals with support points for the class $S$, Loewner chains and the process of truncation. A very complete survey about the role of polynomials and their limits in class $S$ is contributed by T. J. Suffridge. A generalization of the univalence criterion due to Nehari and its relation to the hyperbolic metric is contained in the paper by David Minda. The omitted area problem for functions in class $S$ is solved in the paper by Roger Barnard. New results on angular derivatives and domains are represented in the paper by Burton Rodin and Stefan E. Warschawski, while estimates on the radial growth of the derivative of univalent functions are given by Thom MacGregor. In the paper by B. Bshouty and W. Hengartner a conjecture of Bombieri is proved for some cases.Other interesting problems for special subclasses are solved by B. A. Case and J. R. Quine; M. O. Reade, H. Silverman and P. G. Todorov; and, H. Silverman and E. M. Silvia. New univalence criteria for integral transforms are given by Edward Merkes. Potential theoretic results are represented in the paper by Jack Quine with new results on the Star Function and by David Tepper with free boundary problems in the flow around an obstacle. Approximation by functions which are the solutions of more general elliptic equations are treated by A. Dufresnoy, P. M. Gauthier and W. H. Ow. At the time of preparation of these manuscripts, nothing was known about the proof of the Bieberbach conjecture. Many of the authors of this volume and other experts in the field were recently interviewed by the editor regarding the effect of the proof of the conjecture. Their ideas regarding future trends in research in complex analysis are presented in the epilogue by Dorothy Shaffer.A graduate level course in complex analysis provides adequate background for the enjoyment of this book.
Author: Derek K. Thomas
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110560127
Category : Mathematics
Languages : en
Pages : 265
Get Book
Book Description
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: Olli Tammi
Publisher: Springer
ISBN: 354039012X
Category : Mathematics
Languages : en
Pages : 174
Get Book
Book Description
