PROPERTIES OF A CERTAIN SUBCLASS OF STARLIKE
FUNCTIONS DEFINED BY A GENERALIZED OPERATOR
Yuzaimi Yunus1, Ajab Bai Akbarally2, Suzeini Abdul Halim3
1,2Faculty of Computer and Mathematical Sciences
University Teknologi MARA, 40450 Shah Alam
Selangor, MALAYSIA
3Institute of Mathematical Sciences
University Malaya
50603 Kuala Lumpur, MALAYSIA

Abstract

In this paper, we introduce the class $S^{n,s}_{\alpha,\lambda}(\beta)$, consisting of analytic functions defined by a generalized operator. We derive coefficient inequalities, growth and distortion theorem, extreme points and Fekete-Szegö problem for functions in this class.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 4
Year: 2018

DOI: 10.12732/ijam.v31i4.6

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