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J-GLOBAL ID：200901059798883138   Update date: Apr. 13, 2024

Takeuchi Shingo

タケウチ シンゴ | Takeuchi Shingo
Affiliation and department：
Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science

About Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science


Job title： Professor
Homepage URL  (2)： https://sites.google.com/shibaura-it.ac.jp/shingo/ ,  https://sites.google.com/shibaura-it.ac.jp/shingo/english/
Research field  (2)： Basic analysis ,  Mathematical analysis
Research keywords  (16)： Mathematics ,  Analysis ,  Functional analysis ,  Functional equations ,  Ordinary differential equations ,  Partial differential equations ,  Nonlinear differential equations ,  Nonlinear analysis ,  Eigenvalue problems ,  Free boundary problems ,  Infinite-dimensional dynamical systems ,  Elliptic functions ,  Elliptic integrals ,  Hypergeometric functions ,  Special functions ,  p-Laplacian
Research theme for competitive and other funds  (14)：
  • 2022 - 2027 Study on the eigenvalue problem of the p-Laplacian and related elliptic integrals
  • 2017 - 2022 pラプラシアンの固有値問題と関連する楕円積分の研究
  • 2012 - 2017 Free boundary problems of PDEs with degeneracy-singularity
  • 2013 - 2016 Research on Evolution Equations Describing Anomalous Diffusion
  • 2012 - 2015 Study on reaction-diffusion equations and related free boundary problems
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Papers (30)：
  • Hiroki Miyakawa, Shingo Takeuchi. Applications of a duality between generalized trigonometric and hyperbolic functions II. Journal of Mathematical Inequalities. 2022. 16. 4. 1571-1585
  • Shingo Takeuchi. Some double-angle formulas related to a generalized lemniscate function. The Ramanujan Journal. 2021. 56. 2. 753-761
  • Hiroki Miyakawa, Shingo Takeuchi. Applications of a duality between generalized trigonometric and hyperbolic functions. Journal of Mathematical Analysis and Applications. 2021. 502. 1. 125241
  • Houry Melkonian, Shingo Takeuchi. Remarkable properties of the $\operatorname{sinc}_{p,q}$ functions and related integrals. Journal of Mathematical Analysis and Applications. 2021. 499. 1. 124981
  • Shingo Takeuchi, Kohtaro Watanabe. Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p-Laplacian. Differential and Integral Equations. 2021. 34. 7/8. 383-399
ｍore...
MISC (37)：
  • Shingo Takeuchi. MR4645637. Mathematical Reviews. 2024
  • Shingo Takeuchi. MR4627742. Mathematical Reviews. 2024
  • Houry Melkonian, Shingo Takeuchi. Generalized sinc function and the asymptotic expansion of its norm. RIMS Kôkyûroku. 2023. 2244
  • Shingo Takeuchi. MR4649455. Mathematical Reviews. 2023
  • Shingo Takeuchi. MR4183181. Mathematical Reviews. 2020
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Books (19)：
  • 特集 あの頃に出会った本・出会いたかった本「あなたに会えてよかった」
    『数学セミナー』日本評論社 2024
  • インタビュー・私の軌跡「数学をフルに楽しもう(後編)」
    『大学への数学』東京出版 2024
  • インタビュー・私の軌跡「数学をフルに楽しもう(前編)」
    『大学への数学』東京出版 2024
  • 数学のとびら 関数解析:基本と考え方
    裳華房 2023 ISBN:4785312106
  • 数学者の選ぶ「とっておきの数学」(『算術幾何平均に関する不変量』)
    日本評論社 2023 ISBN:4535790027
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Lectures and oral presentations  (113)：
  • 1次元 p-Laplacian の固有関数がもつ双対性とその応用
    (RIMS共同研究(グループ型A)「非線形問題における精密解析」, 於京都大学数理解析研究所 2024)
  • 1次元 p-Laplacian の固有関数がもつ双対性
    (新潟駅前応用解析研究会, 於新潟大学 2024)
  • 一般化シンク関数とノルムの漸近展開
    (RIMS共同研究(公開型)「常微分方程式の定性的理論とその現象解析への応用」, 於京都大学数理解析研究所 2022)
  • 1次元 $p$-Laplacian の固有関数がもつ双対性とその応用
    (RIMS共同研究(公開型)「発展方程式の広がり:理論的基礎から実践的応用まで」, 於オンライン 2021)
  • 一般化三角・双曲線関数の双対性とその応用
    (オンラインによる微分方程式セミナー(通算第43回), 於オンライン 2021)
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Education (3)：
  • 1997 - 2000 Waseda University Graduate School of Science and Engineering Doctoral Course in Mathematical Sciences
  • 1995 - 1997 Waseda University Graduate School of Science and Engineering Master's Course in Mathematical Sciences
  • 1991 - 1995 Waseda University School of Education Bachelor's Course in Mathematics, Department of Science
Professional career (1)：
  • Doctor of Science (Waseda University)
Work history (7)：
  • 2016/04 - 現在 Shibaura Institute of Technology College of Systems Engineering and Science Professor
  • 2011/04 - 2016/03 Shibaura Institute of Technology College of Systems Engineering and Science Associate Professor
  • 2007/04 - 2011/03 Kogakuin University Faculty of Engineering Associate Professor
  • 2003/04 - 2007/03 Kogakuin University Faculty of Engineering Lecturer
  • 2000/10 - 2003/03 Gakushuin University Faculty of Science Assistant Professor
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Committee career (2)：
  • 2010/09 - 現在 American Mathematical Society Reviewer for Mathematical Reviews
  • 2019/10 - 2021/09 数学セミナー(日本評論社) 書評委員
Awards (1)：
  • 2017/04 - Shibaura Institute of Technology Teaching Award
Association Membership(s) (2)：
The Japan Society for Industrial and Applied Mathematics ,  The Mathematical Society of Japan
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