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Research Activity

Field of Study

Mathematics

Subject of Study

Classical Analysis (The Painleve equations, asymptotic analysis, Discrete equations)

Book / Paper

Academic Paper (Judged Full Paper):

1.Yousuke Ohyama and Shoji Okumura :
R. Fuchs' problem of the Painlevé equations,
Contemporary Mathematics, Vol.593, 163-178, 2013.
2.Yousuke Ohyama and Kazuo Kaneko :
Meromorphic Painlevé transcendents at a fixed singularity,
Mathematische Nachrichten, Vol.286, No.8-9, 861-875, 2013.
(DOI: 10.1002/mana.200810241)

Academic Paper (Unrefereed Paper):

1.Yousuke Ohyama :
q-Stokes Phenomenon of a Basic Hypergeometric Series 1phi1(0;a;q;x),
Journal of Mathematics Tokushima University, Vol.50, 49-60, 2016.

Proceeding of International Conference:

1.Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric series,
IRMAR Analtytic geometry seminar, Rennes, France, Dec. 2016.
2.Yousuke Ohyama :
Some q-Painleve equations and connection problems,
Symmetries and Integrability of Difference Equations, Sainte-Adele, Quebec, Canada, Jul. 2016.
3.Yousuke Ohyama :
q-Painleve equations and q-Stokes phenomenon of linear q-difference equations,
Exponential Asymptotics of Difference and Differential Equations, Jun. 2016.
4.Yousuke Ohyama :
Meromorphic solutions to the q-Painlevé equations around the origin,
Journal of Physics: Conference Series, Vol.597, 012063-(p.10), Apr. 2015.
(DOI: 10.1088/1742-6596/597/1/012063)

Et cetera, Workshop:

1.Yousuke Ohyama :
$q$-超幾何級数${}_1hi_1 ( a; 0; q, x)$の$q$-Stokes現象,
日本数学会春季分科会, Mar. 2017.
2.Yousuke Ohyama :
$q$-超幾何級数${}_1hi_1 ( 0; a;q, x)$の$q$-Stokes現象,
日本数学会春季分科会, Mar. 2017.
3.Yousuke Ohyama :
q-Bessel函数のStokes現象について,
アクセサリー・パラメーター研究会, Mar. 2017.
4.Yousuke Ohyama :
q-Bessel 函数について,
超幾何方程式研究会 2017, Jan. 2017.
5.Yousuke Ohyama :
A q-analogue of the Stokes phenomenon,
2016 函数方程式論サマーセミナー, Aug. 2016.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • パンルヴェ超越函数の大域接続問題 (Project/Area Number: 16K05176 )
  • Nonlinear Stokes problems of the Painleve equation (Project/Area Number: 25400113 )
  • Special solutions and linear monodromy for Painleve equation and Garnier system (Project/Area Number: 22540237 )
  • Asymptotic analysis on the Painleve equations and monodromy problems (Project/Area Number: 21540217 )
  • Generalized quantum groups, including super and elliptic ones, and Weyl groupoids (Project/Area Number: 19540027 )
  • Geometry of twistor spaces (Project/Area Number: 18340017 )
  • Holonomic deformation and nonlinear integrable systems (Project/Area Number: 18204012 )
  • The Painleve functions with solvable monodromy (Project/Area Number: 16540191 )
  • Representation theory of vertex operator algobras and contormal tield theory (Project/Area Number: 14540025 )
  • Physical Combinatorics (Project/Area Number: 13304010 )
  • Non-Abelian gauge fields end Painleve functions (Project/Area Number: 12640174 )
  • Hyper Kahler manifolds (Project/Area Number: 11640076 )
  • Geometry of space of Riemannian manifolds (Project/Area Number: 11640075 )
  • 保型形式のみたす微分方程式 (Project/Area Number: 09740103 )
  • Completely integrable systema and representation theory of infinite dimen-sional algebras (Project/Area Number: 09440014 )
  • 流体を記述する非線型偏微分方程式系の数学解析 (Project/Area Number: 08640197 )
  • Experimental Method of Mathematics (Project/Area Number: 08404008 )
  • 再生核の漸近解析 (Project/Area Number: 07640207 )
  • オンサーガ-代数の表現論の研究 (Project/Area Number: 07640040 )
  • シュレ-ディンガー作用素のスペクトル理論 (Project/Area Number: 06640235 )
  • 保型形式のみたす可積分系 (Project/Area Number: 05230042 )
  • Search by Researcher Number (10221839)