Laplace-Stieltjes 变换所定义的解析函数的值分布

尚丽娜高宗升

数学学报 ›› 2008, Vol. 51 ›› Issue (5) : 993-100.

数学学报 ›› 2008, Vol. 51 ›› Issue (5) : 993-100. DOI: 10.12386/A2008sxxb0116
论文

Laplace-Stieltjes 变换所定义的解析函数的值分布

    尚丽娜高宗升
作者信息 +

The Value Distribution of Analytic Functions Represented by Laplace-Stieltjes Transforms

    Lin Na SHANG
Author information +
文章历史 +

摘要

分别对右半平面上有限正级与无穷级Laplace-Stieltjes变换的Borel点的存在性进行 了研究, 证明了在一定条件下, 右半平面上τ(τ>1)级Laplace-Stieltjes变换在虚轴上必有一个 τ级Borel点;ρ(1σ)级Laplace-Stieltjes变换在虚轴上必有一个无有限例外值的ρ(1σ)级Borel 点.

Abstract

The value distribution of analytic functions defined by Laplace-Stieltjes transforms in the right half-plane is considered in this paper. We prove the existence of Borel points of such analytic functions of finite non-zero order and infinite order.

关键词

值分布 / Laplace-Stieltje 变换 / 解析函数

引用本文

导出引用
尚丽娜高宗升. Laplace-Stieltjes 变换所定义的解析函数的值分布. 数学学报, 2008, 51(5): 993-100 https://doi.org/10.12386/A2008sxxb0116
Lin Na SHANG. The Value Distribution of Analytic Functions Represented by Laplace-Stieltjes Transforms. Acta Mathematica Sinica, Chinese Series, 2008, 51(5): 993-100 https://doi.org/10.12386/A2008sxxb0116

Accesses

Citation

Detail

段落导航
相关文章

/