On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Breaz, Daniel; Cătaş, Adriana; Cotîrlă, Luminiţa-Ioana

doi:10.2478/auom-2022-0005

Abstract

In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f^′(0)−1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant H₃(1) for this function class and obtain the upper bound of the determinant H₃(1).

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On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

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