Article
2022
·
7 citations
THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION
Orhan, Halit, Murugusundaramoorthy, Gangadharan, Caglar, Murat
Abstract
The purpose of this article is to introduce a new subclass of analytic and bi-univalent functions, in associated with sigmoid function and to investigate the upper bounds for |a(2)| and |a(3)|, where a(2), a(3) are the initial Taylor-Maclaurin coefficients. Further, we obtain the Fekete-Szego 5 inequalities for this subclass of the bi-univalent function class sigma. We also give several illustrative examples of the bi-univalent function class which we introduce here.
Keywords
Analytic functions
univalent functions
bi-univalent functions
Sigmoid function
upper bounds
Fekete-Szego problem
subordination between analytic functions
STARLIKE
WoS Categories
Mathematics
Citation
- Journal
- FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
- Year
- 2022
- Volume
- 37
- Issue
- 3
- Pages
- 495-506
- ISSN
- 0352-9665
- eISSN
- 2406-047X
- DOI
- 10.22190/FUMI201022034O
- WoS UID
- WOS:000865954100004