Tetsu MASUDA
Department of Physics and Mathematics, College of Science and Engineering
Aoyama Gakuin University,
5-10-1 Fuchinobe, Sagamihara, Kanagawa, 229-8558 Japan
* Switch to Japanese
Publications
- Hypergeometric τ-functions of the q-Painleve system of type E7(1)
T. Masuda
SIGMA 5 (2009), Paper 035, 30 pp.:
arXiv:0903.4102v1
- The anti-self-dual Yang-Mills equation and the Painleve III equation
T. Masuda
J. Phys. A 40 (2007) 14433-14445.
- Point configurations, Cremona transformations and the elliptic difference Painleve equation
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
Seminaires et Congres 14 (2006) 169-198:
nlin.SI/0411003.
- q-Painleve VI equation arising from q-UC hierarchy
T. Tsuda and T. Masuda
Comm. Math. Phys. 262 (2006) 595-609.
- Special polynomials associated with the Noumi-Yamada system of type A5(1)
T. Masuda
Funkcial. Ekvac. 48 (2005) 231-246.
- The anti-self-dual Yang-Mills equation and classical transcendental solutions to the Painleve II and IV equations
T. Masuda
J. Phys. A 38 (2005) 6741-6757.
- Construction of hypergeometric solutions to the q-Painleve equations
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
Internat. Math. Res. Notices 24 (2005) 1439-1463:
nlin.SI/0501051.
- Cubic pencils and Painleve Hamiltonians
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
Funkcial. Ekvac. 48 (2005) 147-160:
nlin.SI/0403009.
- Classical transcendental solutions of the Painleve equations and their degeneration
T. Masuda
Tohoku Math. J. 56 (2004) 467-490:
nlin.SI/0302026.
- Hypergeometric solutions to the q-Painleve equations
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
Internat. Math. Res. Notices 47 (2004) 2497-2521:
nlin.SI/0403036.
- 10E9 solutions to the elliptic Painleve equation
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
J. Phys. A 36 (2003) L263-L272:
nlin.SI/0303032.
- On a class of algebraic solutions to the Painleve VI equation, its determinant formula and coalescence cascade
T. Masuda
Funkcial. Ekvac. 46 (2003) 121-171:
nlin.SI/0202044.
- On the rational solutions of q-Painleve V equation
T. Masuda
Nagoya Math. J. 169 (2003) 119-143:
nlin.SI/0107050.
- A determinant formula for a class of rational solutions of Painleve V equation
T. Masuda, Y. Ohta and K. Kajiwara
Nagoya Math. J. 168 (2002) 1-25:
nlin.SI/0101056.
- Determinant formulas for the Toda and discrete Toda equations
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada
Funkcial. Ekvac. 44 (2001) 291-307:
solv-int/9908007.
- On the Umemura polynomials for the Painleve III equation
K. Kajiwara and T. Masuda
Phys. Lett. A 260 (1999) 462-467:
solv-int/9903015.
- A generalization of determinant formulae for the solutions of Painleve II and XXXIV equations
K. Kajiwara and T. Masuda
J. Phys. A 32 (1999) 3763-3778:
solv-int/9903014.
- Extraction of stationary axisymmetric asymptotically flat space-time
T. Masuda
J. Phys. Soc. Japan 68 (1999) 43-45.
- Neugebauer-Kramer solutions of the Ernst equation in Hirota's direct method
T. Masuda, N. Sasa and T. Fukuyama
J. Phys. A 31 (1998) 5717-5731.
- Limit manipulation between the cylindrical Toda equation and the cylindrical KdV equation
T. Masuda
J. Phys. Soc. Japan 64 (1995) 3573-3574.
Translation
- Symmetries in Painleve equations
M. Noumi and Y. Yamada
Sugaku Expositions 17 (2004) 203-218.
originally appeared in Japanese in Sugaku 53 (2001) 62-75.