Landau-type theorems for the functions whose images contain a disc

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-09-12 DOI:10.1016/j.jmaa.2025.130068

Sambhunath Sen

引用次数: 0

Abstract

In this article, we obtain Landau-type theorems for holomorphic and meromorphic functions in the open unit disc of the complex plane, assuming that the image of each function contains a disc of certain radius centered at the origin.

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图像包含圆盘的函数的朗道型定理

本文给出了复平面开单位圆盘上全纯函数和亚纯函数的landau型定理，假设每个函数的像都包含一个以原点为中心的半径一定的圆盘。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.