|
Affiliation |
Center of Mathematical and Data Sciences |
|
Title |
Assistant Professor |
|
Laboratory Address |
〒350-0295 埼玉県坂戸市けやき台1-1 |
|
Contact information |
|
|
External Link |
|
OGAWARA HIROSHI
|
|
|
Degree 【 display / non-display 】
-
博士（理学） ( 2017.03 熊本大学 )
-
修士（政策・メディア） ( 2014.03 慶應義塾大学 )
Research Interests 【 display / non-display 】
-
difference equation
-
differential algebra
-
difference algebra
Research Areas 【 display / non-display 】
-
Natural Science / Basic analysis / 差分方程式
Employment Record in Research 【 display / non-display 】
-
Josai University Center of Mathematical and Data Sciences Assistant Professor
2023.04
External Career 【 display / non-display 】
-
Kumamoto University Unregistered 特任助教
2019.04 - 2020.03
-
Kumamoto University Unregistered
2018.04 - 2019.03
-
Kumamoto University Unregistered
2017.04 - 2018.03
Papers 【 display / non-display 】
-
Differential transcendence of solutions for q-difference equation of Ramanujan function Reviewed
Hiroshi Ogawara
In Recent trends in formal and analytic solutions of diff. equations, volume 782 of Contemp. Math. 782 143 - 153 2023.03
Authorship：Lead author Publishing type：Research paper (international conference proceedings)
DOI： 10.1090/conm/782
-
On criteria for algebraic independence of collections of functions satisfying algebraic difference relations Reviewed
Hiroshi Ogawara
Opuscula Mathematica 37 ( 3 ) 457 - 472 2017
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal) Publisher：AGH University of Science and Technology
This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras' multiple gamma functions and derivatives of the gamma function, (2) the logarithmic function, q-exponential functions and q-polylogarithm functions. In a similar way, we give a generalization of Ostrowski's theorem.
-
Differential Transcendency of a Formal Laurent Series Satisfying a Rational Linear q-Difference Equation Reviewed
Hiroshi Ogawara
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 57 ( 3 ) 477 - 488 2014.12
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal) Publisher：KOBE UNIV, DEPT MATHEMATICS
We prove that a formal Laurent series satisfying a rational linear q-difference equation of first order does not satisfy any nontrivial algebraic differential equation over the rational function field unless it represents a rational function. This also provides an algebraic proof of Ishizaki's theorem on differential transcendency for a meromorphic function satisfying a linear q-difference equation.
-
Another proof of Ostrowski-Kolchin-Hardouin theorem in difference algebra Reviewed
Hiroshi Ogawara
Keio SFC Journal 13 ( 2 ) 99 - 102 2013
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
Misc 【 display / non-display 】
-
熊本大学大学教育統括管理運営機構附属数理科学総合教育センターの数理・データサイエンス教育活動の取り組みについて
小川原 弘士
第 69 回九州地区大学教育研究協議会発表論文集 93 - 95 2022.03
Authorship：Lead author Publishing type：Meeting report
-
項目反応理論による習熟度別クラス分けの考察
中嶋 康博, 原 幸範, 境 優一, 小川原 弘士, 金井 政宏
久留米工業大学研究報告 ( 40 ) 98 - 102 2018
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution)
Presentations 【 display / non-display 】
-
2 階線形 Mahler 型方程式の解の微分超越性
小川原 弘士
アクセサリー・パラメーター研究会 2024.03
-
2階線形差分方程式の解の微分超越性と特殊関数への応用 Invited
小川原 弘士
「等角写像論・値分布論」合同研究集会 2024.02
Event date： 2024.02
Presentation type：Oral presentation (invited, special)
-
2階線形差分方程式の解の微分超越性と特殊関数への応用 Invited
小川原 弘士
山形古典解析セミナー 2023.09
Event date： 2023.09
Presentation type：Oral presentation (general)
Venue：山形大学 Country：Japan
-
On differential transcendence of solutions to linear Mahler difference equations of second order Invited
Hiroshi Ogawara
Polish-Japanese workshop on differential equations in the complex domain 2023.09
Event date： 2023.09
Presentation type：Oral presentation (invited, special)
Venue：Banach Center, Institute of Mathematics PAS, Warsaw Country：Poland
Other Link： https://drive.google.com/file/d/1n2ZWWTJj2AQ3ome6UyNHpQUrQIJbOqzD/view
-
Differential transcendence of solutions for second order linear q-difference equations International conference
Hiroshi Ogawara
Complex Differential and Difference Equations II 2023.08
Event date： 2023.08 - 2023.09
Presentation type：Oral presentation (general)
Venue：Mathematical Research and Conference Center, Bedlewo Country：Poland