Differential Subordination and Convolution Techniques: Differential Subordination and Convolution Techniques in Geometric Function Theory - Couverture souple

Mustafa, Dr Saima; Inayat Noor, Prof Dr Khalida

 
9783845429502: Differential Subordination and Convolution Techniques: Differential Subordination and Convolution Techniques in Geometric Function Theory
Couverture souple
ISBN 10 : 384542950X ISBN 13 : 9783845429502
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

Geometric Function Theory, a branch of Complex Analysis, is one of the most fascinating branches of Mathematical Analysis. In 1851, Riemann mapping theorem gave birth to the Geometric Function Theory that allows pure and applied mathematicians and engineers to reduce the simply-connected domains D problems to the special case of open unit disk. This book encompasses some new subclasses of analytic functions and their various properties in the unit disk E by using convolution and subordination techniques. We use the concepts of symmetrical points, Janowski functions and generalized concept of functions of bounded boundary rotation in order to define these analytic subclasses. Certain geometric properties of these classes such as arc-length problems, coefficient bounds, radius problems, inclusion results and rate of growth have also been studied. The investigations produce some innovative new results, most of which are best possible, remarkably unique and interesting and productive enough to be generalized to produce previously known results, by manipulating the parameters. The book is rich with pioneering ideas that can motivate and inspire many researchers working in this area.

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

Présentation de l'éditeur

Geometric Function Theory, a branch of Complex Analysis, is one of the most fascinating branches of Mathematical Analysis. In 1851, Riemann mapping theorem gave birth to the Geometric Function Theory that allows pure and applied mathematicians and engineers to reduce the simply-connected domains D problems to the special case of open unit disk. This book encompasses some new subclasses of analytic functions and their various properties in the unit disk E by using convolution and subordination techniques. We use the concepts of symmetrical points, Janowski functions and generalized concept of functions of bounded boundary rotation in order to define these analytic subclasses. Certain geometric properties of these classes such as arc-length problems, coefficient bounds, radius problems, inclusion results and rate of growth have also been studied. The investigations produce some innovative new results, most of which are best possible, remarkably unique and interesting and productive enough to be generalized to produce previously known results, by manipulating the parameters. The book is rich with pioneering ideas that can motivate and inspire many researchers working in this area.

Biographie de l'auteur

The author got her Ph.D degree from Comsats Institute of Information Technology,Islamabad Pakistan in 2011. She worked under the supervision of Prof Dr Khalida Inayat Noor,an eminent research scholar,in mathematical community who did her Ph.D degree from University of Wales,Swansea,UK in 1972. Saima is presently working in the PMAS-AAUR, Pakistan.

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 
384542950X
ISBN 13 
9783845429502
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
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