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Complex Analysis - Conformal Inequalities and the Bieberbach Conjecture (Hardcover) Loot Price: R5,221
Discovery Miles 52 210
Complex Analysis - Conformal Inequalities and the Bieberbach Conjecture (Hardcover): Prem K. Kythe

Complex Analysis - Conformal Inequalities and the Bieberbach Conjecture (Hardcover)

Prem K. Kythe

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Loot Price R5,221 Discovery Miles 52 210 | Repayment Terms: R489 pm x 12*

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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 and differential equations, the book is suitable for graduate students engaged in analytical research on the topics and researchers working on related areas of complex analysis in one or more complex variables. The author first reviews the theory of analytic functions, univalent functions, and conformal mapping before covering various theorems related to the area principle and discussing Loewner theory. He then presents Schiffer's variation method, the bounds for the fourth and higher-order coefficients, various subclasses of univalent functions, generalized convexity and the class of -convex functions, and numerical estimates of the coefficient problem. The book goes on to summarize orthogonal polynomials, explore the de Branges theorem, and address current and emerging developments since the de Branges theorem.

General

Imprint: Productivity Press
Country of origin: United States
Release date: December 2015
First published: 2016
Authors: Prem K. Kythe
Dimensions: 234 x 156 x 24mm (L x W x T)
Format: Hardcover
Pages: 343
ISBN-13: 978-1-4987-1897-4
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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LSN: 1-4987-1897-3
Barcode: 9781498718974

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