ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES

V. Suman Kumar, R. B. Sharma
2020 Problemy Analiza  
The aim of this article is to estimate an upper bound of | 3 (1)|, the Zalcman coefficient functional for = 3 and = 4, and also to investigate the fifth, sixth, seventh coefficients of starlike and convex functions associated with shell-like curves. Similar type of outcomes are estimated for the functions −1 and ( ) .
doi:10.15393/j3.art.2020.6950 fatcat:onxuhra5g5co7fbvfta4p5lmhu