Univalent Functions by Means of Chebyshev Polynomials. (16th March 2022)

• Record Type: Journal Article
• Authors: Najafzadeh, Sh.; Salleh, Z.
• Other Names: Urbina Wilfredo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9679912
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 .