Quasi subordinations for bi-univalent functions with symmetric conjugate points

Year 2024, Volume: 42 Issue: 1, 57 - 62, 27.02.2024

Fethiye Müge Sakar , Melike Aydoğan , Zeliha Karahüseyin

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

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