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Yousuke Ohyama


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Yousuke Ohyama

Department of Mathematical Science,
Graduate School of Technology, Industrial and Social Sciences,
Tokushima University

Published paper

[1] Y. Ohyama, Meromorphic solutions to the q-Painlevé equations around the origin, J. Phys.: Conf. Ser. 597, 012063, p.10, April 2015.

[2] Y. Ohyama, S. Okumura, R. Fuchs' problem of the Painlevé equations, Contemp. Math. AMS. 593, 163-178, July 2013.

[3] K. Kaneko and Y. Ohyama, Meromorphic Painlevé transcendents at a fixed singularity, Math. Nachr. 286, Issue 8-9, 861-875, June 2013.

[4] Y. Ohyama and S. Okumura, The Darboux-Halphen-Brioshi systems and non-associative algebras, Algebras Groups Geom. 27, no. 4, 377-389, Dec. 2010.

[5] Y. Ohyama, Special Solutions to the Second q-Painlevé equation, AIP Conf. Proc. 1281 (2010), 1714-1717, Sep. 2010.

[6] Y. Ohyama, Expansions on special solutions of the first q-Painlevé equation around the infinity, Proc. Japan Acad 89, no. 5, 91-92, May 2010.

[7] Y. Ohyama, Analytic solutions to the q-Painlevé equations around the origin, RIMS Kokyuroku Bessatsu B13, 45-52, Oct. 2009.

[8] Y. Ohyama, Monodromy evolving deformations and Halphen's equation, CRM Proceedings and Lecture Notes 47, 343-348, July 2009.

[9] K. Kaneko and Y. Ohyama, Fifth Painlevé transcendents which are analytic at the origin, Funkcial. Ekvac. 50, no. 2, 187-212, Aug. 2007.

[10] Y. Ohyama, Rational transformations of confluent hypergeometric equations and algebraic solutions of the Painlevé equations: P1 to P5, RIMS Kokyuroku Bessatsu B2, 137-150, Mar. 2007.

[11] Y. Ohyama, H. Kawamuko, H. Sakai and K. Okamoto: Studies on the Painlevé equation V, third Painlevé equations of special type PIII(D7) and PIII(D8), J. Math. Sci. Univ. Tokyo 13 No.2, 145-204, Oct. 2006.

[12] Y. Ohyama and S. Okumura: A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations, J. Phys. A: Math. Gen. 39, 12129-12151, Sep. 2006.

[13] Y. Ohyama, Classical Solutions of Schlesinger equations and Twistor Theory, CRM Proceedings and Lecture Notes 31 61-68, Mar. 2002.

[14] Y. Ohyama, Isomonodromy Deformations and Twistor theory, Contemp. Math. 309, 185-193, Mar, 2002.

[15] Y. Ohyama, Differential equations for modular forms with level three, Funkcial. Ekvac. 44. no. 3, 377-389, Dec. 2001.

[16] Y. Ohyama, Hypergeometric functions and non-associative algebras, CRM Proceedings and Lecture Notes 30, 173-184, Dec. 2001.

[17] Y. Ohyama, Systems of nonlinear equations related to second order linear equations, Osaka J. Math. 33, no. 4, 927-949, Dec. 1996.

[18] Y. Ohyama, Differential relations of theta functions, Osaka J. Math. 32, no. 2, 431-450, June. 1995.

[19] Y. Ohyama, Self-duality and integrable systems, Publ. Res. Inst. Math. Sci. 26, no. 4, 701-722, July 1990.

[20] Y. Ohyama, Monodromy Evolving Deformations and Confluent Halphen’s Systems, Painlevé Equations and Related Topics (Ed. Bruno, A. D. and Batkhin, A. B.), de Gruyter, 129-136, Aug. 2012.

[21] Y. Ohyama, On Particular solutions of q-Painlevé equations and q-hypergeometric equations, Painlevé Equations and Related Topics (Ed. Bruno, A. D. and Batkhin, A. B.), de Gruyter, 247-251, Aug. 2012.

[22] Y. Ohyama, Nonlinear equations on theta constants of genus two, Infinite Analysis,IIAS Reports, No. 1997-001, Jan. 1997, 109—116.