Regions of Variability for Subclasses of Univalent Functions: Regions of Variability - Couverture souple

Allu, Dr. Vasudeva Rao

 
9783843386685: Regions of Variability for Subclasses of Univalent Functions: Regions of Variability
Couverture souple
ISBN 10 : 3843386684 ISBN 13 : 9783843386685
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The subject of univalent functions is an important area within the venerable field of complex analysis. In this subject one often considers subclasses of the class of all analytic and univalent functions defined on the unit disk in the complex plane that are normalized. A more challenging problem is to determine a region of variability for a given subclass. Region of variability problems typically give more exact information about a family of univalent functions than classical growth distortion and rotation theorems. This book deals with a number of region of variability problems defined on several subclasses of univalent functions. The region of variability and subclasses considered in this book are of current interest of other researchers. The growth estimate and the sharp Bloch semi-norm and the pre-Schwarzian norm are obtained in many cases. In addition, the pictorial illustrations concerning the region of variability using Mathematica make the reading of this book an enjoyable one. Some of the investigations presented in the book could lead to new results in different area of research in function theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The subject of univalent functions is an important area within the venerable field of complex analysis. In this subject one often considers subclasses of the class of all analytic and univalent functions defined on the unit disk in the complex plane that are normalized. A more challenging problem is to determine a region of variability for a given subclass. Region of variability problems typically give more exact information about a family of univalent functions than classical growth distortion and rotation theorems. This book deals with a number of region of variability problems defined on several subclasses of univalent functions. The region of variability and subclasses considered in this book are of current interest of other researchers. The growth estimate and the sharp Bloch semi-norm and the pre-Schwarzian norm are obtained in many cases. In addition, the pictorial illustrations concerning the region of variability using Mathematica make the reading of this book an enjoyable one. Some of the investigations presented in the book could lead to new results in different area of research in function theory.

Biographie de l'auteur

Dr. Vasudeva Rao Allu has obtained his Ph.D. from IIT Madras, India in 2010. The author did his Post-Doctoral studies at Israel Institute of Technology. Currently he is a Post-Doctoral Fellow at the Department of Mathematics, IIT Madras, India. His current areas of interests are Univalent Function Theory and Harmonic Mappings.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3843386684
ISBN 13 
9783843386685
Reliure
Broché
Nombre de pages
156
Coordonnées du fabricant
non disponible
Personne responsable
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