Search:
Tokushima UniversityGraduate School of Technology, Industrial and Social SciencesDivision of Science and TechnologyMathematical ScienceMathematical Methods in Sciences
Tokushima UniversityFaculty of Science and TechnologyDepartment of Science and TechnologyMathematical and Natural SciencesMathematical Methods in Sciences
Tokushima UniversityFaculty of EngineeringCenter for Mathematics and Physics in Engineering Education
Tokushima UniversityGraduate School of Advanced Technology and ScienceIntelligent Structures and Mechanics Systems EngineeringCivil and Environmental EngineeringPlanning and Design Systems Engineering for Infrastructures
Tokushima UniversityFaculty of EngineeringCenter for Mathematics and Physics in Engineering EducationFundamentals of Engineering
Tokushima UniversityResearch ClustersResearch Clusters (Registered)2004018 ラマヌジャンのq-解析と超対称性理論の調和
(Files for researchmap) [PDF manual] [Auto-propagate to researchmap]

Research Activity

Personal Web Page

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, Ramis Jean-Pierre and Sauloy Jacques :
The space of monodromy data for the JimboSakai family of q-difference equations,
Annales de la faculté des sciences de Toulouse Mathématiques, Vol.29, No.5, 1119-1250, 2020.
(DOI: 10.5802/afst.1659)
2. Yousuke Ohyama and Okamoto Kazuo :
Mathematical works of Hiroshi Umemura,
Annales de la faculté des sciences de Toulouse Mathématiques, Vol.29, No.5, 1053-1062, 2020.
(DOI: 10.5802/afst.1656)
3. Yousuke Ohyama and Shoji Okumura :
R. Fuchs' problem of the Painlevé equations,
Contemporary Mathematics, Vol.593, 163-178, 2013.
4. 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 :
Connection formula of basic hypergeometric series, r{r-1}(0 ; b; q, x),
Journal of Mathematics Tokushima University, Vol.51, 29-36, 2017.
2. 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.
(Tokushima University Institutional Repository: 110913)

Review, Commentary:

1. Yousuke Ohyama and 岡本 和夫 :
梅村浩氏の楕円関数論,
梅村浩「楕円関数論」, 363-366, May 2020.

Proceeding of International Conference:

1. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric equations and the Painleve equations,
Analytic theory of differential and difference equations dedicated to the memory of Andrey Bolibrukh, Moscow, Jan. 2021.
2. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric equations,
Differential Galois theory in Strasbourg, Strasbourg, France, Sep. 2019.
3. Yousuke Ohyama :
Connection Problem and q-Stokes phenomenon of basic hypergeometric series,
Formal and analytic solutions of functional equations on the complex domain, Dec. 2018.
4. Yousuke Ohyama :
q-Stokes phenomenon on basic hypergeometric series,
The 13th Symmetries and Integrability of Difference Equations, Nov. 2018.
5. Yousuke Ohyama :
From Heine to Painleve: Connection problems of q-dierence equations,
Toulouse University, Toulouse , France, Feb. 2018.
6. Yousuke Ohyama :
Connection problems of q-difference equations of hypergeometric type and the Painleve type,
Lille University, Lille, France, Sep. 2017.
7. Yousuke Ohyama :
Connection problems of q-difference equations --Hypergeometric type and Painleve type--,
Strassbourg University, Strassbourg, France, May 2017.
8. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric series,
IRMAR Analtytic geometry seminar, Rennes, France, Dec. 2016.
9. Yousuke Ohyama :
Some q-Painleve equations and connection problems,
Symmetries and Integrability of Difference Equations, Sainte-Adele, Quebec, Canada, Jul. 2016.
10. Yousuke Ohyama :
q-Painleve equations and q-Stokes phenomenon of linear q-difference equations,
Exponential Asymptotics of Difference and Differential Equations, Jun. 2016.
11. 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)

Proceeding of Domestic Conference:

1. Yousuke Ohyama :
q-connection problems on hypergeometric and Painleve equations,
Kobe Seminar on Integrable Systems, Feb. 2021.
2. Yousuke Ohyama :
Asymptotic Analysis of the third q-Painleve equation,
2020年度秋季総合分科会, Sep. 2020.
3. Yousuke Ohyama :
The space of connection data of q-linear equations and q-Painleve equations,
Kobe Seminar on Integrable Systems, Jul. 2020.
4. Yousuke Ohyama :
Connection formula of basic hypergeometric equations with one regular singular point,
超幾何方程式研究会 2020, Jan. 2020.
5. Yousuke Ohyama :
q-Stokes problems on basic hypergeometric equations,
日本数学会秋季総合分科会, Sep. 2019.
6. Yousuke Ohyama :
高階超幾何方程式の q-Stokes 現象,
2019年函数方程式論サマーセミナー, Aug. 2019.
7. Yousuke Ohyama :
q- q-Stokes,
第3回古典解析・徳島研究会, Aug. 2019.
8. Yousuke Ohyama :
Irregular singular points of q-difference equations,
Conference on hypergeometric equations 2019, Jan. 2019.
9. Yousuke Ohyama :
q-Stokes coefficents of difference equations on 3φ2(a_1,a_2,a_3;0,0;q,x),
日本数学会年会, Sep. 2018.
10. Yousuke Ohyama :
q-divergence series and resummation,
第25回沼津改め静岡研究会, Mar. 2018.

Et cetera, Workshop:

1. Yousuke Ohyama :
q-超幾何函数 ${}_3hi_2 (a 1 ; a 2 ; a 3 ; b 1 ; 0; q; x) の満たす差分方程式の q-Stokes 係数,
日本数学会春季分科会, Mar. 2018.
2. Yousuke Ohyama :
q-超幾何函数 ${}_1hi_{r-1} (0; b; q; x) の接続問題,
日本数学会春季分科会, Mar. 2018.
3. Yousuke Ohyama :
q-超幾何級数の総和法,
第2回古典解析・徳島研究会 ∼パンルヴェ首相百年記念∼, Jan. 2018.
4. Yousuke Ohyama :
The Stokes problem on q-hypergeometric equations,
超幾何方程式研究会 2018, Jan. 2018.
5. Yousuke Ohyama :
Connection problems on q-hypergeometric equations of higer order,
Workshop on Accessory Parameters, Oct. 2017.
6. 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.
7. 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.
8. 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.
9. Yousuke Ohyama :
q-Bessel 函数について,
超幾何方程式研究会 2017, Jan. 2017.
10. 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)

  • The Stokes phenomenon on linear or nonlinear, differential and differential equations (Project/Area Number: 19K03566 )
  • Global connection problems on the Painleve transcendental functions (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)