Univalent Functions by Means of Chebyshev Polynomials

The primary motivation of the paper is to define a new class C h δ α , β , γ 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 C h δ α , β , γ are introduced and denoted by M λ 1 , λ 2 , s and N λ 1 , λ 2 , s , 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, C h δ α , β , γ = N λ 1 , λ 2 , s .