Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials (Q5946607)
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: Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials |
scientific article; zbMATH DE number 1659282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials |
scientific article; zbMATH DE number 1659282 |
Statements
Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials (English)
0 references
1 August 2002
0 references
Using relations between \(P_n\), \(P_n^{[\mu]}\), \(P_n^{(1)}\) and the fourth-order \(q\)-difference equation satisfied by the associated orthogonal polynomials of the Laguerre-Hahn class, the factorized form of the fourth-order \(q\)-difference equation satisfied by the co-recursive of all \(q\)-classical orthogonal polynomials is derived. Particular situations are also described.
0 references
co-recursive of \(q\)-classical orthogonal polynomials
0 references
forth-order
0 references
\(q\)-difference equation
0 references
0 references
0 references
0.9483101
0 references
0.9447894
0 references
0.94384927
0 references
0.93894815
0 references
0.9330165
0 references
0.93129015
0 references
0.92735803
0 references
0.9251384
0 references
0 references
