Subclass of starlike functions associated with a limacon

Let S*LC 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 (4x2+4y2−8x−5)2+8(4x2+4y2−12x−3)=0. In this paper, we investigate the geometric properties...

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Bibliographic Details
Main Authors: Yunus, Yuzaimi, Halim, Suzeini Abdul, Akbarally, Ajab Bai
Format: Conference Proceeding
Language:English
Subjects:
Analytic functions
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Summary:Let S*LC 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 (4x2+4y2−8x−5)2+8(4x2+4y2−12x−3)=0. In this paper, we investigate the geometric properties of functions in this class.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5041667