Existence of finite-order meromorphic solutions as a detector of integrability in difference equations

By R. Halburd, R. Korhonen. 2006

61 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d945f6d572080976490ba9dbb51a776d62498568

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. R. Korhonen
2. R. Halburd
3. Y. Chiang
4. Shaoji Feng
5. D. C. Barnett
6. W. Morgan
7. Zong-Xuan Chen
8. I. Laine

In Geometry and Topology

1. R. Korhonen
2. R. Halburd
3. Y. Chiang
4. Shaoji Feng
5. D. C. Barnett
6. W. Morgan
7. Zong-Xuan Chen
8. I. Laine

In Statistical and Nonlinear Physics

1. R. Korhonen
2. Y. Chiang
3. Shaoji Feng
4. R. Halburd
5. Zong-Xuan Chen
6. X. Zheng

Citations in the corpus

• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations (2007, background): “Theorem A and its corollaries proved to be indispensable when singling out Painlevé type equations out of large classes of difference equations [11, 12].”
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions (2006, background): “, solvability) of non-linear second order difference equations in C (see [2], [15], [17], [9]; see also [33]–[34] and [11, pp.”