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Author : James Phillips Marion
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (225 download)
Download or read book The Bieberbach Conjecture for N written by James Phillips Marion and published by . This book was released on 1974 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sheng Gong
Publisher : American Mathematical Soc.
ISBN 13 : 0821827421
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Bieberbach Conjecture written by Sheng Gong and published by American Mathematical Soc.. This book was released on 1999-07-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.
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 Lance Reynolds
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (225 download)
Download or read book Loewner's Solution of the Bieberbach Conjecture for N written by James Lance Reynolds and published by . This book was released on 1967 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger N. Pederson
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (42 download)
Download or read book A Proof of the Bieberbach Conjecture for the Sixth Coefficient written by Roger N. Pederson and published by . This book was released on 1968 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sheng Gong
Publisher :
ISBN 13 : 9781571460561
Total Pages : 201 pages
Book Rating : 4.4/5 (65 download)
Download or read book The Bieberbach Conjecture written by Sheng Gong and published by . This book was released on 1999-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1916 Bieberach conjectured: If f - a univalent holomorphic function on the unit disk - is a member of S - the set of all such functions where D={z: z less than 1} and the normalization conditions f(0)=0 and F(0)=1 are added, then an is less than n holds true for n=2,3, ... This equality holds if and only if f(z) is the Koebe function z over (1-z)2 or one of its rotation
Author : Albert Baernstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821873814
Total Pages : 238 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Bieberbach Conjecture written by Albert Baernstein and published by American Mathematical Soc.. This book was released on with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 149871899X
Total Pages : 365 pages
Book Rating : 4.4/5 (987 download)
Download or read book Complex Analysis written by Prem K. Kythe and published by CRC Press. This book was released on 2016-04-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis
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 : 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 : Dmitry Beliaev
Publisher : World Scientific
ISBN 13 : 178634615X
Total Pages : 240 pages
Book Rating : 4.7/5 (863 download)
Download or read book Conformal Maps And Geometry written by Dmitry Beliaev and published by World Scientific. This book was released on 2019-11-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'I very much enjoyed reading this book … Each chapter comes with well thought-out exercises, solutions to which are given at the end of the chapter. Conformal Maps and Geometry presents key topics in geometric function theory and the theory of univalent functions, and also prepares the reader to progress to study the SLE. It succeeds admirably on both counts.'MathSciNetGeometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution.Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry.It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution.
Author : Walter K. Hayman
Publisher : Springer Nature
ISBN 13 : 3030251659
Total Pages : 284 pages
Book Rating : 4.0/5 (32 download)
Download or read book Research Problems in Function Theory written by Walter K. Hayman and published by Springer Nature. This book was released on 2019-09-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’. This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation. Aimed at both early career and established researchers, this book provides the key problems and results needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.
Author : Semyon B Yakubovich
Publisher : World Scientific
ISBN 13 : 9814500607
Total Pages : 265 pages
Book Rating : 4.8/5 (145 download)
Download or read book Index Transforms written by Semyon B Yakubovich and published by World Scientific. This book was released on 1996-02-29 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii Transform and the Lebedev-Skalskaya transforms. The Lp theory of index transforms is discussed, and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. General index transform formulae are obtained. The connection between the multidimensional index kernels and G and H functions of several variables is presented. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography.This work will be of interest to researchers and graudate students in the mathematical and physical sciences whose work involves integral transforms and special functions.
Author : Dorothy Brown Shaffer
Publisher : American Mathematical Soc.
ISBN 13 : 0821850377
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Complex Analysis written by Dorothy Brown Shaffer and published by American Mathematical Soc.. This book was released on 1985 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents mathematical ideas based on papers given at an AMS meeting held at Fairfield University in October 1983. This work deals with the Loewner equation, classical results on coefficient bodies and modern optimal control theory. It also deals with support points for the class $S$, Loewner chains and the process of truncation.
Author : Farit G. Avkhadiev
Publisher : Springer Science & Business Media
ISBN 13 : 3034600003
Total Pages : 162 pages
Book Rating : 4.0/5 (346 download)
Download or read book Schwarz-Pick Type Inequalities written by Farit G. Avkhadiev and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified representation of generalizations of the Schwarz Lemma. It examines key coefficient theorems of the last century and explains the connection between coefficient estimates and characteristics of the hyperbolic geometry in a domain.
Author : Allen R. Miller
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 ( download)
Download or read book A Machine Computation of the Grunsky Coefficients of Schlicht Functions written by Allen R. Miller and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (318 download)
Download or read book NRL Report written by and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
