Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) free ebook download.

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Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) free ebook download

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Author(s):	Prem K. Kythe

Date:	2015-12-22	Format:	pdf	Language:	English	ISBN/ASIN:	1498718973
Pages:	363	OCR:		Quality:		ISBN13:	9781498718974
Uploader:	tvladb77	Upload Date:	10/28/2017 5:12:22 PM

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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 Lowner 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.

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Tags: Analysis Bieberbach Chapman Complex Conformal Conjecture Hall Inequalities Mathematics Monographs

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