OGAWARA HIROSHI

写真a

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

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   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

      More details

    Country:Japan

    Notes:配置転換

    researchmap

  • 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

     More details

    Authorship:Lead author   Publishing type:Research paper (international conference proceedings)  

    DOI: 10.1090/conm/782

    researchmap

  • On criteria for algebraic independence of collections of functions satisfying algebraic difference relations Reviewed

    Hiroshi Ogawara

    Opuscula Mathematica   37 ( 3 )   457 - 472   2017

     More details

    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

    researchmap

  • 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

     More details

    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

    researchmap

  • Another proof of Ostrowski-Kolchin-Hardouin theorem in difference algebra Reviewed

    Hiroshi Ogawara

    Keio SFC Journal   13 ( 2 )   99 - 102   2013

     More details

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

    CiNii Articles

    researchmap

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

     More details

    Authorship:Lead author   Publishing type:Meeting report  

    researchmap

  • 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

     More details

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

    researchmap

Presentations 【 display / non-display

display all >>