Geometric Subfamily of Functions Convex in Some Direction and Blaschke Products

被引：0

作者：

Li, Liulan ^{[1
]}

Ponnusamy, Saminthan ^{[2
]}

机构：

[1] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China

[2] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamilnadu, India

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2025年 / 48卷 / 04期

关键词：

Univalent; Starlike; Convex and close-to-convex functions; Harmonic functions; Blaschke products; John disk; Schwarzian and pre-Schwarzian derivatives; Quasiconformal mappings; UNIVALENT; CRITERIA;

D O I：

10.1007/s40840-025-01867-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the family of locally univalent analytic functions h in the unit disk |z|<1 with the normalization h(0)=0, h '(0)=1 and satisfying the condition Re(zh ''(z)/alpha h '(z))<1/2 for z is an element of D, where 0 < alpha <= 1. The aim of this article is to show that this family has several elegant properties such as involving Blaschke products, Schwarzian derivative and univalent harmonic mappings.

引用

页数：12

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