Certain New Classes of Analytic Functions with Varying Arguments. (30th January 2013)

• Record Type: Journal Article
• Authors: El-Ashwah, R. M.; Aouf, M. K.; Hassan, A. A. M.; Hassan, A. H.
• Other Names: Dziok Jacek Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2013(2013)
• Publication Date: 2013-01-30
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2013/958210
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : We introduce certain new classes κ − V S T ( α, β ) and κ − V U C V ( α, β ), which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.