与解析函数的某些比率和线性组合相关的半径问题

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0066

Priya G. Krishnan, Ravichandran Vaithiyanathan, Ponnaiah Saikrishnan

引用次数: 0

摘要

对于归一化星形函数 f : 𝔻 → ℂ, 我们考虑解析函数 g ：𝔻 → ℂ，定义为 g(z) = (1 + z(f″(z))/f′(z))/(zf′(z)/f(z)) 和 g(z) = (1 - α)(zf′(z))/f(z) + α(1 + (zf″(z))/f′(z)), 0 ≤ α ≤ 1。我们确定 0 < ρ ≤ 1 的最大半径 ρ，使得 g(ρ z) 从属于各种实部为正的函数。

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Radius problem associated with certain ratios and linear combinations of analytic functions

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 − α)(zf′(z))/f(z) + α(1 + (zf″(z))/f′(z)), 0 ≤ α ≤ 1. We determine the largest radius ρ with 0 < ρ ≤ 1 such that g(ρ z) is subordinate to various functions with positive real part.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.