Results on meromorphic solutions of linear difference equations
From MaRDI portal
Publication:1690845
DOI10.1186/1687-1847-2012-203zbMath1377.39032OpenAlexW2114592354WikidataQ59290492 ScholiaQ59290492MaRDI QIDQ1690845
Publication date: 12 January 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2012-203
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference equations, scaling ((q)-differences) (39A13) Growth, boundedness, comparison of solutions to difference equations (39A22) Difference equations in the complex domain (39A45)
Related Items (7)
Meromorphic solutions of difference Painlevé IV equations ⋮ Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients ⋮ Some results on difference Painlevé IV equations ⋮ Borel exceptional values of meromorphic solutions of Painlevé III difference equations ⋮ Uniqueness problems about entire functions with their difference operator sharing sets ⋮ A note on entire functions sharing a finite set with their difference operators ⋮ Further results about a special Fermat-type difference equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- Complex difference equations of Malmquist type
- Existence of finite-order meromorphic solutions as a detector of integrability in difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Zeros of differences of meromorphic functions
- Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
- Finite-order meromorphic solutions and the discrete Painlevé equations
- On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
- Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
- On the extension of the Painlevé property to difference equations
- Clunie theorems for difference and q -difference polynomials
This page was built for publication: Results on meromorphic solutions of linear difference equations