COEFFICIENT INEQUALITY FOR A CLASS OF ANALYTIC FUNCTIONS APPROACHING TO CLASS OF CONVEX FUNCTIONS IN THE LIMIT FORM AND CLASS OF STARLIKE FUNCTIONS DIRECTLY
By
Gurmeet Singh
Khalsa College Patiala, Punjab, India-147001
Email: meetgur111@gmail.com
(Received: September 08, 2022; In format: September 21, 2023; Revised: December 15, 2023; Accepted: December 16, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53229
Abstract
We introduce a class of analytic functions and obtain sharp upper bounds of the functional | a3 - μa22 | for the analytic function ƒ(z) = z + ∑∞n=2 anzn, |z| < 1 belonging to this class with special character that it tends to the class of convex functions as α -> π /2
2020 Mathematical Sciences Classification: 30C50
Keywords and Phrases: Univalent functions, Starlike functions, Close to convex functions and bounded functions