OGAWARA HIROSHI

写真a

Affiliation

Faculty of Science Department of Mathematics and Infomation Science

Title

Assistant Professor

Laboratory Address

〒350-0295 埼玉県坂戸市けやき台1-1

Contact information

Contact information

External Link

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   Abolition organization   Center of Mathematical and Data Sciences   Assistant Professor

    2023.04

External Career 【 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   特任助教

    2020.04 - 2023.03

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    Country:Japan

    Notes:配置転換

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  • 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

Professional Memberships 【 display / non-display

  • 日本数学会

    2014.10

 

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

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    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

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    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.

    DOI: 10.7494/OpMath.2017.37.3.457

    Scopus

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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

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    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.

    Web of Science

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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

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    CiNii Articles

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Books and Other Publications 【 display / non-display

  • 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 

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    Language:Japanese  

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Misc 【 display / non-display

  • 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

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    Publishing type:Lecture material (seminar, tutorial, course, lecture, etc.)  

    File: math_educ_josai2024_30m_20240323.pdf

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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

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    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

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (bulletin of university, research institution)  

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Presentations 【 display / non-display

  • 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 

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    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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  • Mahler 型差分 Riccati 方程式の解の微分超越性 Invited

    小川原 弘士

    芝浦微分方程式セミナー  2024.09  山澤浩司

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    Event date: 2024.09

    Venue:芝浦工業大学豊洲キャンパス  

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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)

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    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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    Event date: 2024.03

    Presentation type:Oral presentation (general)  

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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 

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    Event date: 2024.02

    Presentation type:Oral presentation (invited, special)  

    File: kyusyu2024_40m_20240211.pdf

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Academic Activities 【 display / non-display