Bounded Doubly Close-to-Convex Functions

We consider a new class CC(α,β) of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the class CC(α,β) are investigated. A corresponding class of doubly close-to-starlike functions S*S(α,β) is also considered.

Bibliographic Details
Main Author: Dorina Răducanu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/804095
Description
Summary:We consider a new class CC(α,β) of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the class CC(α,β) are investigated. A corresponding class of doubly close-to-starlike functions S*S(α,β) is also considered.
ISSN:1085-3375
1687-0409