Some properties of solutions for some \(q\)-difference equations containing Painlevé equation (Q1640324)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some properties of solutions for some \(q\)-difference equations containing Painlevé equation |
scientific article; zbMATH DE number 6888533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of solutions for some \(q\)-difference equations containing Painlevé equation |
scientific article; zbMATH DE number 6888533 |
Statements
Some properties of solutions for some \(q\)-difference equations containing Painlevé equation (English)
0 references
14 June 2018
0 references
Summary: The existence and growth of meromorphic solutions \(f(z)\) for some \(q\)-difference equations are studied, and some estimates for the exponent of convergence of poles of \(\Delta_q f\), \(\Delta_q^2 f\), \(\Delta_q f / f\), and \(\Delta_q^2 f / f\) are also obtained. Our theorems are improvements and extensions of the previous results.
0 references
growth of meromorphic solution
0 references
convergence of poles
0 references
0 references
0 references
0 references
0 references
0 references
0 references
