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Affiliation |
Faculty of Science Department of Mathematics and Infomation Science |
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Assistant Professor |
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Laboratory Address |
〒350-0295 埼玉県坂戸市けやき台1-1 |
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Contact information |
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External Link |
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OGAWARA HIROSHI
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Degree 【 display / non-display 】
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博士（理学） ( 2017.03 熊本大学 )
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修士（政策・メディア） ( 2014.03 慶應義塾大学 )
Research Interests 【 display / non-display 】
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difference equation
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differential algebra
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difference algebra
Research Areas 【 display / non-display 】
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Natural Science / Basic analysis / 差分方程式
Employment Record in Research 【 display / non-display 】
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Josai University Abolition organization Center of Mathematical and Data Sciences Assistant Professor
2023.04
External Career 【 display / non-display 】
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Kumamoto University Unregistered 特任助教
2019.04 - 2020.03
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Kumamoto University Unregistered
2018.04 - 2019.03
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Kumamoto University Unregistered
2017.04 - 2018.03
Papers 【 display / non-display 】
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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
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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.
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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.
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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)
Books and Other Publications 【 display / non-display 】
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差分方程式の解の代数的独立性と微分超越性
（ Role： Contributor , 255--279）
2024年度(第31回)整数論サマースクール報告集「超越数論」 2025.01
Language：Japanese
Misc 【 display / non-display 】
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PythonTeX による数学教育用の教材作成
小川原 弘士
第6回 数学教育セミナー「オンラインを利用した数学教育の現状とこれから」城西大学 2024.03
Publishing type：Lecture material (seminar, tutorial, course, lecture, etc.)
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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
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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 】
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Differential transcendence of general solutions to Mahler-type difference Riccati equations Invited International conference
Hiroshi Ogawara
PDEs 2025: Recent Developments in Theory and Applications 2025.02
Event date： 2025.02
Language：English Presentation type：Oral presentation (invited, special)
Venue：Paradise Garden Resort Hotel & Convention Center Boracay Island, Aklan, Philippines Country：Philippines
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差分方程式の解の代数的独立性と微分超越性 Invited
小川原 弘士
2024年度(第31回)整数論サマースクール 「超越数論」 2024.09 立谷 洋平 （弘前大学）、金子 元（筑波大学）、西岡 斉治（山形大学）
Event date： 2024.09
Presentation type：Oral presentation (invited, special)
Venue：山形大学小白川キャンパス
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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
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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)
Academic Activities 【 display / non-display 】
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Role(s)： Planning, management, etc.
松原宰栄; 廣惠一希; 小川原弘士; 原岡喜重; 大島利雄 （ 熊本大学 ） 2025.03
Type：academic_society_etc
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Role(s)： Planning, management, etc.
（ 熊本大学理学部 ） 2024.03
Type：academic_society_etc
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Workshop on Accessory Parameters 2023
Role(s)： Planning, management, etc.
（ Kumamoto University ） 2023.03
Type：academic_society_etc