Shun Shimomura

シモムラシュン | Shun Shimomura

Affiliation and department：
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

2007 - 2009 Meromorphic solutions of discrete functional equations

2007 - 2009 Research of differential or difference equations appearing in many fields and the value distribution of meromorphic functions or holomorphic curves

2006 - 2009 Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

2006 - 2008 Mathematical Analysis of various nonlinear problems for phenomena in continua

2005 - 2008 Analytical and Geometrical Study of Integral Representations of Differential Equations

2005 - 2007 Analytic study of Painleve equations and a nelated clans of equation

2004 - 2005 Discrete functional equations in complex domains

2003 - 2005 Constraction of the lattice gauge computation tools for large scale cluster computars

2003 - 2005 Mathematical analysis on the structure of solutions for the fundamental systems of equations in continuum mechanics

2003 - 2004 Global study of functional equations and special functions

2003 - 2004 Research on 3-manifolds by combinatorial and constructive methods

2002 - 2003 Study of functional equations by applying value distribution theory and complex dynamics

2001 - 2002 Global study on analytic solutions of functional equations

2001 - 2002 Observational study for the system of interval analysis by seamless access

2001 - 2002 Search for an approach to general critical points of variational problems materials science

2000 - 2002 Study of Poisson geometry and its application

1999 - 2001 Morse theory of variational problems

1999 - 2000 a study of special functions defined by functional equations

1997 - 1998 Harmonic Analysis and its application to measurements

1996 - 1996 調和解析とその応用に関する諸問題について

1996 - 1996 変分問題のモ-ス理論

1995 - 1995 非線型解析学における諸問題の研究

1994 - 1994 特殊関数の大域的研究

1993 - 1993 非線型及び大域解析学における諸問題の研究

1986 - 1986 確率ゲームと関連した非線形楕円型偏微分方程式の研究

1984 - 1984 非線形微分方程式の大域的研究

Show all

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

ｍore...

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

ｍore...

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 (35)：

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)

ｍore...

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

Show all

Committee career (1)：

1998/07 - 現在 Zentralblatt fur Mathematik reviewer

Association Membership(s) (1)：

日本数学会

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page