Year: 2024
Type: article
Abstract: Let h_1, h_2 be two analytic functions defined in the open unit disc Δ:={z∈C:|z|<1} which are normalized by the condition h_1 (0)=1=h_2 (0). Then h_1 is P-stable with respect to h_2, whenever (P_n (h_1,z))/(h_1 (z))≺1/(h_2 (z)) (z∈Δ),holds for all n∈N. Here ’≺’ stands for subordination and P_n (h,z)=P_n (z)*h(z) where P_n (z) denote the n-degree polynomial induced by the (n+1)th row entities in an admissible lower triangular matrix. The main purpose of this article is to prove that the function ((Az+1)/(Bz+1))^δ is P-stable with respect to (Bz+1)^(-δ), for δ∈(0,1] and -1≤B
Author: M P Jeyaraman
Institution: Presidency College
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402821917