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.

Saved in:
Bibliographic Details
Main Author: Dorina Răducanu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/804095
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832560450230812672
author Dorina Răducanu
author_facet Dorina Răducanu
author_sort Dorina Răducanu
collection DOAJ
description 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.
format Article
id doaj-art-aec75e0c89334af5b77875a7d6ceee17
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-aec75e0c89334af5b77875a7d6ceee172025-02-03T01:27:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/804095804095Bounded Doubly Close-to-Convex FunctionsDorina Răducanu0Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu 50, 50091 Braşov, RomaniaWe 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.http://dx.doi.org/10.1155/2014/804095
spellingShingle Dorina Răducanu
Bounded Doubly Close-to-Convex Functions
Abstract and Applied Analysis
title Bounded Doubly Close-to-Convex Functions
title_full Bounded Doubly Close-to-Convex Functions
title_fullStr Bounded Doubly Close-to-Convex Functions
title_full_unstemmed Bounded Doubly Close-to-Convex Functions
title_short Bounded Doubly Close-to-Convex Functions
title_sort bounded doubly close to convex functions
url http://dx.doi.org/10.1155/2014/804095
work_keys_str_mv AT dorinaraducanu boundeddoublyclosetoconvexfunctions