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Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Monographs and Research Notes in Mathematics) - Tapa dura

Libro 26 de 79: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Kythe, Prem K.

 
9781498718974: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture (Monographs and Research Notes in Mathematics)
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ISBN 10: 1498718973 ISBN 13: 9781498718974
Editorial: Chapman and Hall/CRC, 2015

Sinopsis

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 α-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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Acerca del 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.

De la contraportada

This book 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. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theor

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2015
Idioma
Inglés
ISBN 10 
1498718973
ISBN 13 
9781498718974
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
364
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania