Radius of convexity of classes associated with the ratio of derivative functions

G Kaur, S Nagpal - Rendiconti del Circolo Matematico di Palermo Series 2, 2024 - Springer
The sharp radius of convexity of the classes consisting of normalized analytic functions f
defined in the open unit disk is determined such that the condition| f′/g′-1|< 1 is satisfied …

Properties of Bazilevic Functions Involving -analogue of the Generalized -series

M Dharmaraj, D Breaz - European Journal of Pure and Applied …, 2025 - ejpam.com
With primary motive to unify and extend the various well-known studies, we define a new
family of differential operator using the $ q $-analogue of the generalized $ M $-series. The …

[引用][C] Radius problems for ratios of analytic functions involving sigmoid domain

G Kaur, S Nagpal - Asian-European Journal of Mathematics, 2024 - World Scientific
The univalent function ϕ SG (z):= 2/(1+ e− z) maps the open unit disk| z|< 1 onto a sigmoid
domain| log (w/(2− w))|< 1. The sharp radii constants have been computed for the classes …