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

摘要

The aim of this article is to estimate an upper bound of vertical bar H-3(1)vertical bar, the Zalcman coefficient functional for n = 3 and n = 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 f(-1) and z/f(z).