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

Autor: V. Suman Kumar, R. Bharavi Sharma
Jazyk: English<br />Russian
Rok vydání: 2020
Předmět:
Zdroj: Проблемы анализа, Vol 9 (27), Iss 2, Pp 119-137 (2020)
Druh dokumentu: article
ISSN: 2306-3424
2306-3432
DOI: 10.15393/j3.art.2020.6950
Popis: The aim of this article is to estimate an upper bound of |𝐻_3(1)|, 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).
Databáze: Directory of Open Access Journals