Rational solutions for the discrete Painlevé II equation

Kenji Kajiwara, Kazushi Yamamoto, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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 languageEnglish
Pages (from-to)189-199
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3-4
Publication statusPublished - Jul 28 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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