Affiliation:
1. Department of Mathematics, Payame Noor University, Post Office Box: 19395-3697, Tehran, Iran
2. Department of Mathematics, Faculty of Ocean, Engineering Technology and Informatics, Unversity Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia
Abstract
The primary motivation of the paper is to define a new class
which consists of univalent functions associated with Chebyshev polynomials. For this class, we determine the coefficient bound and convolution preserving property. Furthermore, by using subordination structure, two new subclasses of
are introduced and denoted by
and
, respectively. For these subclasses, we obtain coefficient estimate, extreme points, integral representation, convexity, geometric interpretation, and inclusion results. Moreover, we prove that, under some restrictions on parameters,
.
Funder
Ministry of Higher Education, Malaysia