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Univalent Functions by Means of Chebyshev Polynomials
- Source :
- Journal of Function Spaces, Vol 2022 (2022)
- Publication Year :
- 2022
- Publisher :
- Wiley, 2022.
-
Abstract
- The primary motivation of the paper is to define a new class Chδα,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 Chδα,β,γ are introduced and denoted by Mλ1,λ2,s and Nλ1,λ2,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, Chδα,β,γ=Nλ1,λ2,s.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23148888
- Volume :
- 2022
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.159d0d450c4915b3171c647fdcee71
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2022/9679912