Sufficient and Necessary Conditions for the Generalized Distribution Series to be in Subclasses of Univalent Functions

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-04-06 DOI:10.1007/s11253-024-02277-z

引用次数: 0

Abstract

We establish a relationship between the subclasses of univalent functions and generalized distribution series. The main aim of our investigation is to obtain necessary and sufficient conditions for the generalized distribution series to belong to the classes 𝒯 ℱ(ρ, ϑ), 𝒯 ℋ(ρ, ϑ), 𝒯 𝒥(ρ, ϑ), and 𝒯 𝒳(ρ, ϑ) . In addition, we obtain some particular cases of our main results.

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广义分布序列属于等价函数子类的充分必要条件

我们建立了单值函数子类与广义分布级数之间的关系。我们研究的主要目的是获得广义分布序列属于𝒯 ℱ(ρ， ϑ)、𝒯 ℋ(ρ， ϑ)、𝒯 𝒥(ρ， ϑ)和𝒯 𝒳(ρ， ϑ)类的必要和充分条件。此外，我们还得到了主要结果的一些特殊情况。

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

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.