The solutions of one type \(q\)-difference functional system. (English) Zbl 1343.30027

Xu, Yonglin; Han, Dengli; Fan, Xiaohong; Wang, Gang; Zhong, Hua

Adv. Difference Equ. 2014, Paper No. 3, 9 p. (2014).

Summary: In this paper, we study the functional system on \( q\)-difference equations, our results can give estimates on the proximity functions and the counting functions of the solutions of \(q\)-difference equations system. This implies that solutions have a relatively large number of poles. The main results in this paper concern \(q\)-difference equations to the system of \(q\)-difference equations.

MSC:

30D35	Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39B32	Functional equations for complex functions
39A13	Difference equations, scaling (\(q\)-differences)
39B12	Iteration theory, iterative and composite equations

Keywords:

functional system; \( q\)-difference equations; zero order; difference Nevanlinna theory

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