TY - JOUR

T1 - Rational solutions for the discrete Painlevé II equation

AU - Kajiwara, Kenji

AU - Yamamoto, Kazushi

AU - Ohta, Yasuhiro

N1 - Funding Information:
The authors would like to thank Professors B. Grammaticos,A . Ramani and J. Hietarinta for encouragement and discussions. One of the authors (K.K) was supported by a Grant-in-Aid for Encouragement of Young Scientists from The Ministry of Education, Science, Sports and Culture of Japan, No. 08750090.

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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U2 - 10.1016/S0375-9601(97)00397-6

DO - 10.1016/S0375-9601(97)00397-6

M3 - Article

AN - SCOPUS:0040128633

SN - 0375-9601

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

IS - 3-4

ER -