Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination

Authors

AHMAD MOTAMEDNEZHAD
TEODOR BULBOACA
EBRAHIM ANALOUEI ADEGANI
NESA DIBAGAR

DOI

10.3906/mat-1710-106

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

First Page

2798

Last Page

2808

Recommended Citation

MOTAMEDNEZHAD, AHMAD; BULBOACA, TEODOR; ADEGANI, EBRAHIM ANALOUEI; and DIBAGAR, NESA (2018) "Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination," Turkish Journal of Mathematics: Vol. 42: No. 5, Article 55. https://doi.org/10.3906/mat-1710-106
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/55