Landau and Bloch constants for meromorphic functions

被引：6

作者：

Bhowmik, Bappaditya ^{[1
]}

Sen, Sambhunath ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, India

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 201卷 / 02期

关键词：

Bloch constant; Landau constant; Meromorphic functions; Univalent disc;

D O I：

10.1007/s00605-023-01839-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be the open unit disc in the complex plane, and let A( p) be the class of all functions f holomorphic inD\{p} having a simple pole at z = p is an element of(0, 1) with f ' (0) not equal 0. In this article, we present lower estimates of the Landau and the Bloch constants for functions in A( p) in the Euclidean metric. We also improve these estimates of the Landau and the Bloch constants by considering an interesting subclass of A( p).

引用

页码：359 / 373

页数：15

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