Back to Search Start Over

Subclass of Starlike Functions Associated with a Limacon.

Authors :
Yunus, Yuzaimi
Halim, Suzeini Abdul
Akbarally, Ajab Bai
Source :
AIP Conference Proceedings; 2018, Vol. 1974 Issue 1, p1-8, 8p
Publication Year :
2018

Abstract

Let S*<superscript>LC</superscript> represent a new subclass of analytic functions f defined in the open unit disk in the complex plane such that zf'(z)f(z) lies in the interior of the domain bounded by the limacon given by the equation (4x<superscript>2</superscript>+4y<superscript>2</superscript>-8x-5)<superscript>2</superscript>+8(4x<superscript>2</superscript>+4y<superscript>2</superscript>-12x-3)=0. In this paper, we investigate the geometric properties of functions in this class. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
1974
Issue :
1
Database :
Complementary Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
130426384
Full Text :
https://doi.org/10.1063/1.5041667