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

被引：6
|
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
收藏
页码：1280 / 1309
页数：30
相关论文
共 50 条
  • [41] Linear q-difference equations depending on a parameter
    Abramov, S. A.
    Ryabenko, A. A.
    JOURNAL OF SYMBOLIC COMPUTATION, 2013, 49 : 65 - 77
  • [42] The Stokes phenomenon for linear q-difference equations
    Sauloy, Jacques
    SYMMETRIES AND RELATED TOPICS IN DIFFERENTIAL AND DIFFERENCE EQUATIONS, 2009, 549 : 123 - 139
  • [43] The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations
    Wang, Zhuo
    Lin, Weichuan
    AIMS MATHEMATICS, 2024, 9 (03): : 5501 - 5522
  • [44] FINITE LOGARITHMIC ORDER MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENCE/DIFFERENTIAL-DIFFERENCE EQUATIONS
    Dahmani, Abdelkader
    Belaidi, Benharrat
    MATHEMATICA BOHEMICA, 2025, 150 (01):
  • [45] Growth Analysis of Meromorphic Solutions of Linear Difference Equations with Entire or Meromorphic Coefficients of Finite φ-Order
    Choi, Junesang
    Datta, Sanjib Kumar
    Biswas, Nityagopal
    SYMMETRY-BASEL, 2021, 13 (02): : 1 - 18
  • [46] Growth of meromorphic solutions of certain types of q-difference differential equations
    Minfeng Chen
    Yeyang Jiang
    Zongsheng Gao
    Advances in Difference Equations, 2017
  • [47] Growth of meromorphic solutions of certain types of q-difference differential equations
    Chen, Minfeng
    Jiang, Yeyang
    Gao, Zongsheng
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [48] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Zheng, Xiu-Min
    Tu, Jin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [49] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Xiu-Min Zheng
    Jin Tu
    Advances in Difference Equations, 2013
  • [50] Solutions of linear difference and q-difference equations with polynomial coefficients
    Abramov, SA
    PROGRAMMING AND COMPUTER SOFTWARE, 1995, 21 (06) : 273 - 278
12345