Research field (3)：
Basic analysis
, Basic analysis
, Basic analysis
Research keywords (11)：
middle convolution
, Completely integrable system
, Painleve equation
, Accessory parameter
, Hypergeometric differential equation
, Connection problem
, q-Borel summability
, Borel summability
, Basic hypergeometric function
, Hypergeometric function
, Fuchsian differential equations
Research theme for competitive and other funds (1)：
2022 - 2024 A study of solutions of the Painleve equation derived from monodromy invariant Hermitian forms.
Papers (5)：
Shunya Adachi. Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities. Opuscula Mathematica. 2022. 42. 3. 361-391
Shunya Adachi. On a Connection Problem for the Generalized Hypergeometric Equation. Formal and Analytic Solutions of Differential Equations. 2022. 263-284
On k-summability of formal solutions to the Cauchy problems for some linear q-difference-differential equations. Complex Differential and Difference Equations. 2019. 447-462
The q-Borel Sum of Divergent Basic Hypergeometric Series rφs(a;b;q,x). Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2019. 15. 016
Shunya Adachi. Euler type integral representations of the local solutions to hypergeometric equation. Epsilon. 2016. 58. 77-87
MISC (2)：
2階Fuchs型微分方程式のモノドロミー不変エルミート形式について. Hokkaido University technical report series in Mathematics. 2022. 182. 459-467
一般化超幾何微分方程式の接続問題について. Hokkaido University technical report series in Mathematics. 2021. 180. 407-414
