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Study of Second Order Hankel Determinants for Convex Functions with Symmetric Points Related with Exponential Function

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Title: Study of Second Order Hankel Determinants for Convex Functions with Symmetric Points Related with Exponential Function

Authors: Huo Tang , Khalil Ullah , Muhammad Arif , Ferdous M. O. Tawfiq , Sarfraz Nawaz Malik

Journal: Journal of innovative research in mathematical and computational sciences

HEC Recognition History
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Year: 2023

Volume: 2

Issue: 2

Language: en

DOI: 10.62270/jirmcs.v2i2.22

Keywords: Convex functions with symmetric pointsCoefficient problemsZalcman functionalsHankel determinant problemsLogarithmic CoefficientInverse Coefficient.

Categories
Number Theory (108) Mathematical Physics (49) Harmonic Analysis (9) Complex Analysis (54) Geometric Function Theory (11)

Abstract

This work aims to introduce and study a class of convex functions with symmetric points associated with exponential function. The problems under consideration are the first four sharp coefficient bounds, Fekete-Szegö functional, second Hankel determinant. It also includes similar investigations for inverse and logarithmic functions of convex functions with symmetric points associated with exponential function.

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