The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain

In this particular research article, we take an analytic function Q4L=1+5/6z+1/6z5, which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of in...

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Bibliographic Details
Main Authors: Azzh Saad Alshehry, Rasool Shah, Abdul Bariq
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/2621811
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Summary:In this particular research article, we take an analytic function Q4L=1+5/6z+1/6z5, which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients. Among the inequalities to be studied here are Zalcman inequalities, the Fekete-Szegö inequality, and the second-order Hankel determinant.
ISSN:2314-8888