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

2019/08/08 by Alaa H. El-Qadeem, El-Qadeem, Alaa H., Mohamed A. Mamon +1
Materials Science · Mathematics · #30C50 Secondary 30C55 #Analytic and geometric function theory #Complex Variables (math.CV) #Crystal Structures and Properties #FOS: Mathematics #Primary 30C45 #X-ray Diffraction in Crystallography

paper · pdf · doi:10.48550/arxiv.1908.07350

openalex publication_date 2019/08/08 · openalex created_date 2019/08/29 · openalex updated_date 2026/07/28

Abstract

In this paper, new class of bi-univalent functions are introduced. Upper bound of the second Hankel determinant |H₂(2)| of subclass of bi-univalant functions class Σ, 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.

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