Upper bound of second Hankel determinant of subclass of bi-univalent functions defined by subordination

Abstract

In this paper, new class of bi-univalent functions are introduced. Upper bound of the second Hankel determinant $|H_2(2)|$ of subclass of bi-univalant functions class $\Sigma$, which defined by subordination, investigated. Furthermore, some results concluded as a special case of our main results and corrected some previous researchers results which investigated by miscalculation.

arXiv admin note: text overlap with arXiv:1809.09365 by other authors