The growth of solutions of systems of complex \(q\)-shift difference equations
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Publication:1690895
DOI10.1186/1687-1847-2012-216zbMath1377.39016OpenAlexW2124704457WikidataQ59290598 ScholiaQ59290598MaRDI QIDQ1690895
Hong-Yan Xu, Ting-Bin Cao, Bing-Xiang Liu
Publication date: 12 January 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2012-216
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference equations, scaling ((q)-differences) (39A13)
Related Items (7)
Growth and poles of solutions of systems of complex composite functional equations ⋮ Some properties of meromorphic solutions of systems of complex \(q\)-shift difference equations ⋮ Uniqueness of difference polynomials ⋮ Some properties of solutions of a class of systems of complex \(q\)-shift difference equations ⋮ Value distribution for difference operator of meromorphic functions with maximal deficiency sum ⋮ Results on the growth of meromorphic solution for a class system of complex functional equations ⋮ Fixed points of differences of meromorphic functions
Cites Work
- On properties of difference polynomials
- Remarks on complex difference equations
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- Value distribution of difference polynomials
- Value distribution and shared sets of differences of meromorphic functions
- On the Nevanlinna characteristic of \(f(qz)\) and its applications
- Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
- Value distribution of the difference operator
- Some properties of meromorphic solutions of \(q\)-difference equations
- Meromorphic solutions of generalized Schröder equations
- Complex difference equations of Malmquist type
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Meromorphic solutions of q-shift difference equations
- Uniqueness of meromorphic functions sharing values with their shifts
- Holomorphic curves with shift-invariant hyperplane preimages
- Finite Order Solutions of Second Order Linear Differential Equations
- On the extension of the Painlevé property to difference equations
- Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
- Some Results on Factorisation of Meromorphic Functions
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