Weighted Yosida functions

被引：3

作者：

Aulaskari, R. ^{[1
]}

Makhmutov, S. ^{[2
,3
]}

Rattya, J. ^{[1
]}

机构：

[1] Univ Joensuu, Dept Math & Phys, FIN-80101 Joensuu, Finland

[2] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Muscat 123, Oman

[3] Ufa State Aviat Tech Univ, Ufa 450025, Russia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 1-3期

关键词：

spherical derivative; Yosida function; 5-point theorem; algebraic differential equation;

D O I：

10.1080/17476930902998969

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study meromorphic functions on the complex plane with given growth of the spherical derivative. We find a criterion of Lohwater-Pommerenke type for non-weighted Yosida functions, and apply this result to obtain a version of Lappan's 5-point theorem. Further, a necessary condition for all solutions of algebraic differential equation of nth order to be weighted Yosida functions is found.

引用

页码：167 / 172

页数：6

共 10 条

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[4]

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[10]

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