- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination
Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination
Authors : Ahmad Motamednezhad, Teodor Bulboaca, Ebrahim Analouei Adegani, Nesa Dibagar
Pages : 2798-2808
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this work with a different technique we obtain upper bounds of the functional $\left|a_2a_4-a_3^2\right|$ for functions belonging to a comprehensive subclass of analytic bi-univalent functions, which is defined by subordinations in the open unit disk. Moreover, our results extend and improve some of the previously known ones.Keywords : Bi-univalent functions, Fekete-Szego determinant, second Hankel determinant, differential subordination, Carathéodory functions