COEFFICIENT ESTIMATES AND SECOND HANKEL INEQUALITY FOR A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH THE CARDIOID DOMAIN
By
Gurmeet Singh1 and Gourav Sainiç
1Department of Mathematics, GSSDGS Khalsa College Patiala, Punjab, India -147001.
2Research scholar, Department of Mathematics, Punjabi University, Patiala, Punjab, India - 147002.
Email: meetgur111@gmail.com, sainig953@gmail.com
(Received: July 03, 2024; In format: August 10, 2024; Revised: June 30, 2025; Accepted June 31, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55112
Abstract
In this paper we will define a new class S*꜀(λ) which is subordinate to a cardioid function 1+ 4/3 z+ 2 /3 z2 , we will find the Fekete - Szeg¨o inequality for this class, Further we have solved the second Hankel determinant of this new subclass of class of starlike functions
2020 Mathematical Sciences Classification: 30C45, 30C50
Keywords and Phrases: Analytic function, Cardioid domain, Univalent functions, Starlike function, subordination, Fekete - Szeg¨o inequality, Hankel determinant, coefficient inequalities.