Rational solutions for the discrete Painlevé II equation

Kenji Kajiwara, Kazushi Yamamoto, Yasuhiro Ohta

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 languageEnglish
Pages (from-to)189-199
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume232
Issue number3-4
DOIs
Publication statusPublished - Jul 28 1997

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polynomials
entry
determinants
formalism

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Rational solutions for the discrete Painlevé II equation. / Kajiwara, Kenji; Yamamoto, Kazushi; Ohta, Yasuhiro.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 232, No. 3-4, 28.07.1997, p. 189-199.

Research output: Contribution to journalArticle

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