394 citations · 2.8k across the 62 of their papers we have counts for
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solv-int1997★ 63 cited
Determinant Structure of the Rational Solutions for the Painlevé IV Equation
Kenji Kajiwara, Yasuhiro Ohta
Rational solutions for the Painlevé IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur func…
solv-int1997★ 28 cited
Rational Solutions for the Discrete Painlevé II Equation
Kenji Kajiwara, Kazushi Yamamoto, Yasuhiro Ohta
The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by the determinant whose entries a…