Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 189-199 |
| Number of pages | 11 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 232 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - Jul 28 1997 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Kajiwara, K., Yamamoto, K., & Ohta, Y. (1997). Rational solutions for the discrete Painlevé II equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 232(3-4), 189-199. https://doi.org/10.1016/S0375-9601(97)00397-6