The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.
|Number of pages||11|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - Jul 28 1997|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)