Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Chapman & Hall/CRC Monographs and Research Notes in Mathemat) - Softcover

Buch 26 von 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Kythe, Prem K.

 
9780367445782: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Chapman & Hall/CRC Monographs and Research Notes in Mathemat)
Softcover
ISBN 10: 0367445786 ISBN 13: 9780367445782
Verlag: Routledge, 2019

Inhaltsangabe

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 Löwner 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 a-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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Über die Autorin bzw. den Autor

Prem K. Kythe is a Professor Emeritus of Mathematics at the University of New Orleans. He is the author/coauthor of 11 books and author of 46 research papers. His research interests encompass the fields of complex analysis, continuum mechanics, and wave theory, including boundary element methods, finite element methods, conformal mappings, PDEs and boundary value problems, linear integral equations, computation integration, fundamental solutions of differential operators, Green's functions, and coding theory.

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Verlag
Routledge
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
0367445786
ISBN 13 
9780367445782
Einband
Taschenbuch
Anzahl der Seiten
363
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781498718974: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Monographs and Research Notes in Mathematics, Band 17)

Vorgestellte Ausgabe

ISBN 10:  1498718973 ISBN 13:  9781498718974
Verlag: Chapman and Hall/CRC, 2015
Hardcover