RADIUS PROBLEM ASSOCIATED WITH CERTAIN RATIOS AND LINEAR COMBINATIONS OF ANALYTIC FUNCTIONS

被引：0

作者：

Krishnan, Priya G. ^{[1
]}

Vaithiyanathan, Ravichandran ^{[1
]}

Saikrishnan, Ponnaiah ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, Tamil Nadu, India

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 04期

关键词：

Univalent functions; starlike functions; convex functions; subordination; Janowski starlike functions; Janowski convex functions; radius problem; STARLIKENESS; LEMNISCATE; SUBCLASS;

D O I：

10.1515/ms-2024-0066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For normalized starlike functions f : D -> C, we consider the analytic functions g : D -> C defined by g(z) = (1+z(f ''(z))/f'(z))/(zf'(z)/f(z)) and g(z) = (1-alpha)(zf'(z))/f(z) + alpha(1 + (zf ''(z))/f'(z)), 0 <= alpha <= 1. We determine the largest radius rho with 0 < rho <= 1 such that g(rho z) is subordinate to various functions with positive real part.

引用

页码：877 / 894

页数：18

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