单位圆盘上解析函数和调和函数算子Cesàro的半径常数

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-09-29 DOI:10.1134/S1061920824601484

Z.Y. Hu, H.M. Srivastava, X.Y. Wang

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引用次数: 0

摘要

给出了单位圆盘\(\mathbf{D}\)上解析函数的系数条件，得到了\(\mathbf{D}\)中解析函数\(f\)的Cesàro算子的\(\alpha\)阶星形半径和\(\alpha\)阶凸。进一步，我们考虑了\(\mathbf{D}\)调和函数的Cesàro算子，给出了调和函数\(f\)算子的\(\alpha\)阶星形半径和\(\alpha\)阶凸。所有的结果都是尖锐的。Doi 10.1134/ s1061920824601484

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Radius Constants for Cesàro Operator of Analytic and Harmonic Functions in the Unit Disk

Given coefficient conditions of analytic in unit disk \(\mathbf{D}\), we obtain the radius of starlike of order \(\alpha\) and convex of order \(\alpha\) for Cesàro operator of analytic functions \(f\) in \(\mathbf{D}\). Furthermore, we consider the Cesàro operator of harmonic functions and give the radius of starlike of order \(\alpha\) and convex of order \(\alpha\) for Cesàro operator of harmonic functions \(f\) in \(\mathbf{D}\). All results are sharp.

DOI 10.1134/S1061920824601484

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.