The Bieberbach Conjecture for N
Author | : James Phillips Marion |
Publisher | : |
Total Pages | : 62 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
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Author | : James Phillips Marion |
Publisher | : |
Total Pages | : 62 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
Author | : Sheng Gong |
Publisher | : American Mathematical Soc. |
Total Pages | : 218 |
Release | : 1999-07-12 |
Genre | : Education |
ISBN | : 0821827421 |
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. |
Total Pages | : 238 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0821815210 |
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 | : |
Total Pages | : 64 |
Release | : 1967 |
Genre | : Differential equations |
ISBN | : |
Author | : Roger N. Pederson |
Publisher | : |
Total Pages | : 72 |
Release | : 1968 |
Genre | : Geometric function theory |
ISBN | : |
Author | : Sheng Gong |
Publisher | : |
Total Pages | : 201 |
Release | : 1999-08 |
Genre | : |
ISBN | : 9781571460561 |
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. |
Total Pages | : 238 |
Release | : |
Genre | : Mathematics |
ISBN | : 0821873814 |
Author | : Prem K. Kythe |
Publisher | : CRC Press |
Total Pages | : 365 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 149871899X |
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 |
Total Pages | : 552 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 1351459376 |
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 |
Total Pages | : 414 |
Release | : 2001-07-02 |
Genre | : Mathematics |
ISBN | : 9780387907956 |