| 研究業績 |
| [1] |
Tetsu Masuda, Yasuhiro Ohta
and Kenji Kajiwara, Determinant Formula for a Class
of Rational Solutions of Painlev\'e V Equation,
preprint, arXiv:nlin.SI/0101056, to appear in Nagoya
Math. J.(2002) |
| [2] |
Kenji Kajiwara, Masatoshi
Noumi and Yasuhiko Yamada, A Study on the fourth
$q$-Painlev\'e Equation, J. Phys. A: Math. Gen.
{\bf 34} (2001) 8563-8581. |
| [3] |
Kenji Kajiwara, Tetsu Masuda,
Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada,
Determinant Formulas for the Toda and Discrete Toda
Equations, Funk. Ekvac. {\bf 44}(2001) 291-307.
|
| [4] |
中村 佳正 編，「可積分系の応用数理」(裳華房，2000年),
分担執筆(第４章「離散系における可積分性の判定」の執筆を担当) |
| [5] |
Kenji Kajiwara, Ken-ichi
Maruno and Masayuki Oikawa,
Biliearization of Discrete Soliton Equations through
the Singularity Confinement Test,
Chaos, Solitons \& Fractals {\bf 11}(2000) 33-40. |
| [6] |
Ken-ichi Maruno, Kenji Kajiwara
and Masayuki Oikawa, A Note on Integrable Systems
Related to Discrete Time Toda Lattice, {\it SIDE
III---symmetries and integrability of difference
equations (Sabaudia, 1998) } eds. by O. Ragnisco
and D. Levi, CRM Proc. Lecture Notes {\bf 25}, (AMS,
2000), 303--314. |
| [7] |
Kenji Kajiwara and Tetsu
Masuda, On the Umemura Polynomials for the Painlev\'e
III Equation, Phys. Lett. A{\bf 260}(1999) 462-467.
|
| [8] |
Kenji Kajiwara and Tetsu
Masuda, A Generalization of Determinant Formulae
for the Solutions of Painlev\'e II and XXXIV Equations,
J. Phys. A {\bf 32}(1999) 3763-3778. |
| [9] |
Jarmo Hietarinta and Kenji
Kajiwara, Rational Solutions to d-P$_{\rm IV}$,
in {\it Proceedings of the Second Workshop on Symmetries
and Integrability of Difference Equations} (Cambridge,
1999), 206--216. |
| [10] |
Kenji Kajiwara, The Discrete
Painlev\'e II Equation and the Classical Special
Functions, in {\it Proceedings of the Second Workshop
on Symmetries and Integrability of Difference Equations}
(Cambridge, 1999), 217--227. |
| [11] |
K. M. Tamizhmani, A. Ramani,
B. Grammaticos and K. Kajiwara, Coalescense Cascades
and Special Function Solutions for the Continuous
and Discrete Painlev\'e Equations, J. Phys. A {\bf
31}(1998) 5799--5810. |
| [12] |
Yoshimasa Nakamura, Kenji
Kajiwara and Hironori Shiotani, On an Integrable
Discretization of the Rayleigh Quatient Gradient
System and the Power Method with the Optimal Shift,
J. Comp. Appl. Math. {\bf 96}(1998) 77-90. |
| [13] |
Kenji Kajiwara and Yasuhiro
Ohta, Determinant Structure of the Rational Solutions
for the Painlev\'e IV Equation, J. Phys. A {\bf
31}(1998) 2431--2446. |
| [14] |
Ken-ichi Maruno, Kenji Kajiwara
and Masayuki Oikawa, Casorati Determinant Solutions
for the Discrete Relativistic Toda Lattice Equation,
Phys. Lett. A {\bf 241}(1998) 335-343. |
| [15] |
A. Nagai, T. Tokihiro, J.
Satsuma, R. Willox and K. Kajiwara, Two-dimensional
Soliton Cellular Automaton of Deautonomized Toda-type,
Phys. Lett. {\bf A234}(1997), 301-309. |
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