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J-GLOBAL ID：200901096908588245   Update date: Feb. 14, 2024

Shun Shimomura

シモムラ シュン | Shun Shimomura
Affiliation and department：
Keio University Faculty of Science and Technology

About Keio University Faculty of Science and Technology


Job title： Professor Emeritus
Research field  (1)： Mathematical analysis
Research keywords  (1)： Differential equations
Research theme for competitive and other funds  (31)：
  • 2013 - 2017 Formulations of the tropical Nevanlinna-Cartan theory and their returns for complex analytic methods
  • 2010 - 2012 Research of complex functional equations by means of theory of meromorphic functions
  • 2010 - 2012 Transplants of Nevanlinna theory to some fields of research
  • 2010 - 2012 Global study of nonlinear special functions and its application
  • 2007 - 2010 Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory
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Papers (84)：
  • Shun Shimomura. On a general singular solution of the fifth Painleve equation along the positive real axis. Computational Methods Function Theory. 2021
  • Shun Shimomura. Elliptic asymptotic representation of the fifth Painleve transcendents. arXiv:2012.07321, math.CA, math-ph, 54 pages (2020) , to appear in the Kyushu Journal of Mathematics. 2020
  • Shun Shimomura. Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data. SIGMA Symmetry Integrability Geom. Methods Appl. 2018. 14. 113. 50 pages
  • Shun Shimomura. Logarithmic Solutions of the Fifth Painleve Equation near the Origin. TOKYO JOURNAL OF MATHEMATICS. 2017. 39. 3. 797-825
  • Shun Shimomura. CRITICAL BEHAVIOURS OF THE FIFTH PAINLEVE TRANS CENDENTS AND THE MONODROMY DATA. KYUSHU JOURNAL OF MATHEMATICS. 2017. 71. 1. 139-185
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MISC (13)：
  • ELSNER CARSTEN, SHIMOMURA SHUN, SHIOKAWA IEKATA. ALGEBRAIC RELATIONS AND ASYMPTOTIC FORMULAS FOR FIBONACCI RECIPROCAL SUMS (Analytic Number Theory and Related Areas). RIMS Kokyuroku. 2009. 1665. 127-138
  • Elsner Carsten, Shimomura Shun, Shiokawa Iekata. Algebraic independence results for Ramanujan $q$-series (New Aspects of Analytic Number Theory). RIMS Kokyuroku. 2009. 1639. 172-175
  • Shimomura Shun. ON SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH THE QUASI-PAINLEVE PROPERTY (II) (Recent Trends in Exponential Asymptotics). RIMS Kokyuroku. 2005. 1424. 177-183
  • Shimomura Shun. On second order nonlinear differential equations with the quasi-Painleve property (Global and asymptotic analysis of differential equations in the complex domain). RIMS Kokyuroku. 2004. 1367. 204-210
  • Shimomura Shun. On the Number of Poles of the First Painleve Transcendents and Higher Order Analogues (II) (Nishikawa phenomena in Stokes graphs for higher order Painleve equations). RIMS Kokyuroku. 2003. 1316. 13-18
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Books (3)：
  • Nevanlinna 理論の微分方程式への応用
    神戸大学理学部数学教室 2003 ISBN:4907719140
  • Painleve Differential Equations in the Complex Plane
    Walter de Gruyter, Berlin 2002
  • From Gauss to Painleve, A Modern Theory of Special Functions
    vieweg 1991
Lectures and oral presentations  (50)：
  • Painleve V に関連した Schlesinger 方程式の解について
    (複素領域における微分方程式とその周辺 北海道大学 2018)
  • Painleve 超越関数の振る舞いについて
    (Tokyo Journal of Mathematics 筱田記念号刊行に寄せて 2016)
  • On certain nonlinear differential equations
    (The 12th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications 2004)
  • Second main theorem for Painleve transcendents
    (Workshop COE 21 Math. Scie. U-Tokyo 「値分布と小林双曲性 Value Distribution Theory and Kobayashi Hyperbolicity」 2004)
  • On second-order nonlinear differential equations with quasi-Painleve property
    (短期共同研究「Recent Trends in Exponential Asymptotics」 2004)
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Education (4)：
  • 1979 - The University of Tokyo Graduate School, Division of Science 数学専攻
  • - 1979 東京大学大学院 理学系研究科 数学専攻
  • 1978 - The University of Tokyo Graduate School, Division of Science 数学専攻
  • - 1976 The University of Tokyo Faculty of Science Department of Mathematics
Professional career (1)：
  • 理学 (The University of Tokyo)
Work history (13)：
  • 1996/04 - 現在 慶應義塾大学理工学部(数理科学科) ,助教授
  • 2001/04 - 2018/03 慶應義塾大学理工学部 (数理科学科)教授
  • 1996/04 - 2001/03 慶應義塾大学理工学部(数理科学科) 助教授
  • 1997/10 - 1998/03 上智大学大学院理工学研究科(函数方程式特別講議IV) ,非常勤講師
  • 1996/04 - 1998/03 兼慶応義塾大学理工学部 ,学習指導副主任
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Committee career (1)：
  • 1998/07 - 現在 Zentralblatt fur Mathematik reviewer
Association Membership(s) (1)：
日本数学会
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