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 |
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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 |
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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 journal › Article
}
TY - JOUR
T1 - Rational solutions for the discrete Painlevé II equation
AU - Kajiwara, Kenji
AU - Yamamoto, Kazushi
AU - Ohta, Yasuhiro
PY - 1997/7/28
Y1 - 1997/7/28
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0040128633&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(97)00397-6
DO - 10.1016/S0375-9601(97)00397-6
M3 - Article
AN - SCOPUS:0040128633
VL - 232
SP - 189
EP - 199
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 3-4
ER -