UCHIDA Shofu

College of Science and Technology Department of Liberal Arts and ScienceAssistant Professor

Research Keyword

  • Exact WKB Analysis
  • Algebraic Analysis of Singular Perturbation Theory

Field Of Study

  • Natural sciences, Basic analysis
  • Natural sciences, Mathematical analysis
Research activity information

Paper

  • Differential-difference equations satisfied by the Voros coefficients at the unit for the generalized hypergeometric differential equation with a large parameter
    Takashi Aoki; Shofu Uchida
    RIMS Kôkyûroku, Jan. 2025
  • An elementary approach to the exact WKB analysis of the Pearcey system with a large parameter
    Takashi Aoki; Takao Suzuki; Shofu Uchida
    RIMS Kôkyûroku, Jan. 2025
  • Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
    Takashi Aoki; Shofu Uchida
    Contemporary Mathematics, Feb. 2023, Refereed
  • Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter
    Takashi Aoki; Shofu Uchida
    Symmetry, Integrability and Geometry: Methods and Applications, Jan. 2022, Refereed
  • Characterization of continuous endomorphisms of the space of entire functions of a given order
    Takashi Aoki; Ryuichi Ishimura; Yasunori Okada; Daniele C. Struppa; Shofu Uchida
    Complex Variables and Elliptic Equations, Sep. 2021, Refereed
  • Linear continuous operators acting on the space of entire functions of a given order
    Takashi Aoki; Ryuichi Ishimura; Daniele C. Struppa; Shofu Uchida
    RIMS Kôkyûroku, Feb. 2019

MISC

  • The Borel transform of the WKB solution to the Pearcey system
    Takashi Aoki; Takao Suzuki; Shofu Uchida
    arXiv:2303.02694, May 2023
  • An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter
    Takashi Aoki; Takao Suzuki; Shofu Uchida
    arXiv:2205.02988, Jun. 2022

Lectures, oral presentations, etc.

  • The connection formulas of Voros type for the WKB solutions to the Pearcey system with a large parameter
    Shofu Uchida
    Recent topics in algebraic analysis, Mar. 2025
  • Pearcey系に対するWKB解のBorel和の接続公式について
    内田匠風
    第63回実函数論・函数解析学合同シンポジウム, Sep. 2024
  • On the exact WKB analysis for the Pearcey system with a large parameter
    Shofu Uchida
    微分方程式の総合的研究, Dec. 2023
  • Toward the exact WKB analysis for Appell's hypergeometric system $E_2$
    Shofu Uchida
    Various problems in microlocal analysis and asymptotic analysis, Nov. 2023
  • An elementary approach of the connection formula for WKB solutions to the Pearcey system with a large parameter
    Shofu Uchida
    Complex Differential and Difference Equations II, Aug. 2023
  • On the differential-difference equations satisfied by the Voros coefficients at the unit of the generalized hypergeometric differential equation
    Shofu Uchida
    Prospects in microlocal analysis and asymptotic analysis, Oct. 2022
  • Exact WKB analysis for the Pearcey system with a large parameter
    Takashi Aoki; Takao Suzuki; Shofu Uchida
    日本数学会2022年度秋季総合分科会, Sep. 2022
  • Pearcey系におけるWKB解のBorel変換について
    内田匠風
    2022年度函数方程式論サマーセミナー, Aug. 2022
  • Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equation
    Shofu Uchida
    Exact WKB Analysis, Microlocal Analysis, Painlevé Equations and Related Topics, Oct. 2021
  • 一般化超幾何微分方程式のVoros係数について
    内田匠風
    2021年度函数方程式論サマーセミナー, Aug. 2021
  • Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equation with a large parameter
    Shofu Uchida
    Formal and Analytic Solutions of Diff. Equations on the Internet, Jun. 2021
  • 一般化超幾何微分方程式の原点および無限遠点におけるVoros係数について
    内田匠風
    芝浦・函数方程式微分方程式研究会&交流ゼミ, Mar. 2021
  • Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equation with a large parameter
    Takashi Aoki; Shofu Uchida
    日本数学会2020年度年会, Mar. 2020
  • Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equation
    Shofu Uchida
    Microlocal Analysis and Asymptotic Analysis, Nov. 2019
  • 一般化超幾何微分方程式のVoros係数について
    内田匠風
    サイエンスネットワーク2019 第9回院生サミット, Oct. 2019
  • 一般化超幾何微分方程式の原点におけるVoros係数について
    内田匠風
    2019年度函数方程式論サマーセミナー, Aug. 2019
  • 一般化超幾何微分方程式の原点におけるVoros係数
    内田匠風
    解析数論セミナー, Aug. 2019
  • 一般化超幾何微分方程式の原点におけるVoros係数について
    内田匠風
    近畿大学数学講演会, Apr. 2019
  • Voros coefficients at the origin of the generalized hypergeometric differential equation with a large parameter
    Takashi Aoki; Shofu Uchida
    日本数学会2019年度年会, Mar. 2019
  • 一般化超幾何微分方程式の原点におけるVoros係数について
    内田匠風
    複素領域における函数方程式とその周辺, Mar. 2019
  • Toward the exact WKB analysis of the generalized hypergeometric differential equation, II
    Shofu Uchida
    Various Problems of Algebraic Analysis -- Microlocal Analysis and Asymptotic Analysis --, Oct. 2018
  • 与えられた位数を持つ整関数の空間に作用する連続線型作用素
    内田匠風
    2018年度函数方程式論サマーセミナー, Aug. 2018
  • Linear continuous operators acting on the space of entire functions of a given order
    Takashi Aoki; Ryuichi Ishimura; Daniele C. Struppa; Shofu Uchida
    The Mathematical Society of Japan Annual Meeting, Mar. 2018
  • 与えられた位数を持つ整関数の空間に作用する連続線型作用素
    内田匠風
    総合理工マスターズ2018, Feb. 2018
  • Linear continuous operators acting on the space of entire functions of a given order
    Shofu Uchida
    Microlocal analysis and asymptotic analysis, Oct. 2017

Affiliated academic society

  • Nov. 2017 - Present
    The Mathematical Society of Japan

Others

  • 日本数学会奨励研究生
    Apr. 2022 - Mar. 2023