Meromorphic functions of finite φ-order and linear q-difference equations

被引：9

作者：

Heittokangas, J. ^{[1
]}

Wang, J. ^{[2
]}

Wen, Z. T. ^{[3
]}

Yu, H. ^{[1
]}

机构：

[1] Univ Eastern Finland, Dept Phys & Math, POB 111, Joensuu 80101, Finland

[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

[3] Shantou Univ, Dept Math, Shantou, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2021年 / 27卷 / 09期

基金：

中国国家自然科学基金;

关键词：

phi-exponent of convergence; phi-order; logarithmic q-difference; meromorphic function; q-difference equation; NEVANLINNA THEORY;

D O I：

10.1080/10236198.2021.1982919

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The phi-order was introduced in 2009 for meromorphic functions in the unit disc, and was used as a growth indicator for solutions of linear differential equations. In this paper, the properties of meromorphic functions in the complex plane are investigated in terms of the phi-order, which measures the growth of functions between the classical order and the logarithmic order. Several results on value distribution of meromorphic functions are discussed by using the phi-order and the phi-exponent of convergence. Instead of linear differential equations, the applications in the complex plane lie in linear q-difference equations.

引用

页码：1280 / 1309

页数：30

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