id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6081	Abdul Wahid, Nur Hazwani Aqilah; Cik Soh, Shaharuddin	Vandermonde Determinant for the Generalized Bounded Turning Functions Associated with Gregory Coefficients	2025	16	.pdf	application/pdf	5684	343	78	2020 Mathematics Subject Classifications: 30C45, 30C50 Key Words and Phrases: Univalent functions, inverse functions, bounded turning functions, Gregory coefficients, Taylor coefficients, logarithmic coefficients, Vandermonde determinant 1. Introduction Let A denote the class of analytic functions f (z) that can be expressed as a Taylor series expansion in the open unit disk E = {z ∈ C : |z| < 1}, given by f (z) = z + ∞∑ n=2 anz n , z ∈ E. (1) We denote by S the subclass of A consisting of univalent functions in E. The inverse of a function f (z) ∈ S of the form (1) has a series expansion given by f−1 (w) = w + ∞∑ n=2 Anw n, |w| < r0 (f) , r0 (f) ≥ 1 4 , (2) ∗Corresponding author.	cache/ejpam-6081.pdf	txt/ejpam-6081.txt