Article
2023
·
2 citations
Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators
Abstract
In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients |a2|, |a3| and |a4| and of the Fekete-Szego functional vertical bar a3 - eta a(2) (2)vertical bar for certain subclasses of analytic and 2 bi-starlike functions S sigma*(beta,theta, n, m) in the open unit disk. We have also obtained an upper bound of the functional vertical bar a(2)a(4) - a(2) vertical bar for the 3 functions in the class S sigma*(beta,theta, n, m). Moreover, several interesting applications of the results presented here are also discussed.
Keywords
Analytic functions
Univalent functions
Bi-univalent func-tions
Bi-starlike functions
Subordination between analytic functions
Hankel deter-minant
COEFFICIENT BOUNDS
UNIVALENT FUNCTIONS
GENERAL SUBCLASS
WoS Categories
Mathematics
Citation
- Journal
- SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
- Year
- 2023
- Volume
- 20
- Issue
- 2
- Pages
- 65-83
- ISSN
- 2423-3900
- DOI
- 10.22130/scma.2022.553738.1110
- WoS UID
- WOS:000946176000003