乘子变换定义负系数K-一致单价解析函数的新子类

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-10-05 DOI:10.1155/2022/4593799

Ma’moun I. Y. Alharayzeh, F. Ghanim

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引用次数: 0

摘要

在这项工作中，我们将导出一个新的单价分析函数的子类，表示为Hα，β，γ，k，λ，m在开单位圆盘D=z∈ℂ : z1，它由乘子变换定义。得到了该子类函数的系数不等式、增长和畸变定理、极值点、星形半径和凸性。

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New Subclass of K -Uniformly Univalent Analytic Functions with Negative Coefficients Defined by Multiplier Transformation

In this work, we shall derive a new subclass of univalent analytic functions denoted by

H (α, β, γ, k, λ, m)

in the open unit disk

D = \{z \in ℂ : |z| < 1\}

which is defined by multiplier transformation. Coefficient inequalities, growth and distortion theorem, extreme points, and radius of starlikeness and convexity of functions belonging to the subclass are obtained.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.