研究キーワード (4件):
特殊関数論
, 複素変数の微分方程式
, Theory of special functions
, Differential equations of complex variables
競争的資金等の研究課題 (10件):
2021 - 2025 平坦構造の一般化と線形微分差分方程式
2017 - 2021 平坦構造の一般化とモノドロミ保存変形
2014 - 2017 自由因子と微分方程式の研究
2013 - 2017 線形微分方程式の解の大域挙動とモノドロミ保存変形に関する研究
2009 - 2012 モノドロミ保存変形と積分表示可能な新しい特殊関数についての相補的研究
2009 - 2012 線形微分方程式のモノドロミー保存変形と積分表示可能な特殊関数
2009 - 2012 -
2009 - 2011 パンルヴェ方程式の漸近解析とモノドロミ問題
2007 - 2009 超幾何積分の新しい一般化の研究、モジュラー性の観点から
1999 - 2001 保型形式のみたす非線形微分方程式系
全件表示
論文 (20件):
Mitsuo Kato, Toshiyuki Mano, Jiro Sekiguchi. Flat Structure on the Space of Isomonodromic Deformations. Symmetry, Integrability and Geometry: Methods and Applications. 2020. 16
M. Kato, T. Mano, J. Sekiguchi. Solutions to the extended WDVV equations and the Painleve VI equation. "Complex Differential and Difference Equations" in the series De Gruyter Proceedings in Mathematics. 2019. 343-363
Toshiyuki Mano. Potential vector fields and isomonodromic tau functions in terms of flat coordinates. "Complex Differential and Difference Equations" in the series De Gruyter Proceedings in Mathematics. 2019. 327-342
T. Hoge, T. Mano, G. Rohrle, C. Stump. Freeness of multi-reflection arrangements via primitive vector fields. Advances in Mathematics. 2019. 350. 63-96
On a geometric notion associated with linear differential equations of Okubo normal form
(2023)
Flat structures on solutions to the sixth Painleve equation
(Web-seminar on Painleve Equations and related topics 2023)
Period of primitive forms, the space of Okubo-Saito potentials and the sixth Painleve equation
(Painleve Equations: From Classical to Modern Analysis 2022)