Symmetric periodic solutions of rational recursive sequences (Q1898302)
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: Symmetric periodic solutions of rational recursive sequences |
scientific article; zbMATH DE number 796911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric periodic solutions of rational recursive sequences |
scientific article; zbMATH DE number 796911 |
Statements
Symmetric periodic solutions of rational recursive sequences (English)
0 references
17 September 1995
0 references
The authors show that the equation \(x_{n + 1} = (a + \sum^{k - 1}_{i = 0} b_i x_{n - i})/x_{n - k}\) has infinitely many symmetric periodic solutions as its linearized equation each with the same minimal period \(2(k + 1)\).
0 references
rational recursive sequences
0 references
symmetric periodic solutions
0 references
