Quasi subordinations for bi-univalent functions with symmetric conjugate points
1Department of Management, Dicle University, Diyarbakır, 21280, Türkiye
2Department of Mathematics Engineering, Istanbul Technical University, İstanbul, 34469, Türkiye
3Department of Mathematics and Computer Sciences, Faculty of Science and Letters, Istanbul Kültür University, Istanbul, 34158, Türkiye
2Department of Mathematics Engineering, Istanbul Technical University, İstanbul, 34469, Türkiye
3Department of Mathematics and Computer Sciences, Faculty of Science and Letters, Istanbul Kültür University, Istanbul, 34158, Türkiye
Sigma J Eng Nat Sci 2024; 42(1): 57-62 DOI: 10.14744/sigma.2023.00030
Abstract
Many researchers have recently acquainted and researched several interesting subfamilies of bi-univalent function family 𝛿 and they have found non-sharp estimates on the first two Tay-lor-Maclaurin coefficients |𝑎2| and |𝑎3|. In this current work, the subfamily of bi-univalent functions in the sense of symmetric conjugate points with quasi subordination is defined. The Maclaurin coefficients |𝑎2|, |𝑎3| and besides related with these coefficients |𝑎3 − 𝑎22| for functions belonging to this subfamily are derived. Further some corollaries are also presented.
Keywords: Bi-Univalent Functions; Quasi-Subordinations; Symmetric Conjugate Points
