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NISHIOKA Seiji  西岡 斉治

ORCIDConnect your ORCID iD *help
Researcher Number 10632226
Other IDs
Affiliation (Current) 2022: 山形大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help 2013 – 2020: 山形大学, 理学部, 准教授
2012: 山形大学, 理学部, 助教
Review Section/Research Field
Principal Investigator
Global analysis / Basic analysis / Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
差分代数 / 差分方程式 / 既約性 / 超超越性 / 離散パンルヴェ方程式 / 超越性 / 代数的差分方程式 / パンルヴェ方程式 / 分解可能拡大 / 差分リッカチ方程式 … More / qエアリー方程式 / 可解性 / 超越数論 / マーラー関数 / 微分超越性 / 強正規拡大 Less
  • Research Projects

    (3 results)
  • Research Products

    (19 results)
  •  Differential/difference algebraic properties of solutions of difference equationsPrincipal Investigator

    • Principal Investigator
      西岡 斉治
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Yamagata University
  •  Study on irreducibility of algebraic difference equations and differential transcendence of solutionsPrincipal Investigator

    • Principal Investigator
      Nishioka Seiji
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Yamagata University
  •  Irreducibility and hypertranscendence of non-linear difference equationsPrincipal Investigator

    • Principal Investigator
      NISHIOKA Seiji
    • Project Period (FY)
      2012 – 2013
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Global analysis
    • Research Institution
      Yamagata University

All 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

  • [Journal Article] Transcendence of solutions of q-Airy equation2017

    • Author(s)
      Nishioka, S.
    • Journal Title

      Josai Mathematical Monographs

      Volume: 10 Pages: 129-137

    • NAID

      120006028485

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Journal Article] Proof of unsolvability of q-Bessel equation using valuations2016

    • Author(s)
      S. Nishioka
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 23 Pages: 763-789

    • NAID

      120006425965

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Journal Article] Autonomous equations of Mahler type and transcendence2015

    • Author(s)
      K. Nishioka, S. Nishioka
    • Journal Title

      Tsukuba J. Math.

      Volume: 39 Pages: 251-257

    • NAID

      120007178934

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Journal Article] Functions satisfying Poincare's multiplication formula2014

    • Author(s)
      Nishioka, S.
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 51

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Journal Article] Solutions to a q-analog of Painleve III equation of type D7(1)2013

    • Author(s)
      Nakazono, N., Nishioka, S.
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Journal Article] Algebraic independence of solutions of first-order rational difference equations2013

    • Author(s)
      Nishioka S
    • Journal Title

      Results in Mathematics

      Volume: Volume.64, Issue 3 Pages: 423-433

    • DOI

      10.1007/s00025-013-0324-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Journal Article] Approximation of Poincare's new functions by rational functions2013

    • Author(s)
      Nishioka, S.
    • Journal Title

      Journal of Difference Equations and Applications

      Volume: 19

    • DOI

      10.1080/10236198.2012.755963

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] q-Airy方程式の解の超超越性2017

    • Author(s)
      西岡斉治
    • Organizer
      非線形波動研究の新潮流 ―理論とその応用 ―
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Presentation] Irreducibility of difference Painleve equations2016

    • Author(s)
      S. Nishioka
    • Organizer
      SIDE 12
    • Place of Presentation
      Quebec, Canada
    • Year and Date
      2016-07-03
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Presentation] Double-Angle Formulae and Algebraic Independence2015

    • Author(s)
      Seiji NISHIOKA
    • Organizer
      Model Theory, Difference/Differential Equations and Applications
    • Place of Presentation
      CIRM, France
    • Year and Date
      2015-04-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Presentation] Double-angle formulae and algebraic independence2015

    • Author(s)
      Seiji NISHIOKA
    • Organizer
      Differential and Difference Equations: Analytic, Arithmetic and Galoisian Approaches
    • Place of Presentation
      Lille (Laboratoire Paul Painleve), France
    • Year and Date
      2015-10-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Presentation] Reducibility of algebraic difference equations2014

    • Author(s)
      西岡斉治
    • Organizer
      Recent developments in differential equations in the complex domain
    • Place of Presentation
      RIMS, Kyoto University, Japan
    • Year and Date
      2014-11-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800049
  • [Presentation] 差分リッカチ方程式の標準型2013

    • Author(s)
      西岡斉治
    • Organizer
      ウィンターセミナー2013
    • Place of Presentation
      KKR湯沢ゆきぐに, 新潟県
    • Year and Date
      2013-01-28
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] Approximation of Poincare's new functions by rational functions2013

    • Author(s)
      西岡斉治
    • Organizer
      Séminaire Equations fonctionnelles
    • Place of Presentation
      Université de Strasbourg, フランス
    • Year and Date
      2013-02-12
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] 差分代数と超越数論2013

    • Author(s)
      西岡斉治
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      山形大学, 山形県
    • Year and Date
      2013-09-15
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] 倍角公式と代数的独立性2013

    • Author(s)
      西岡斉治
    • Organizer
      2013函数方程式論サマーセミナー
    • Place of Presentation
      リゾートホテル阿蘇いこいの村, 熊本県
    • Year and Date
      2013-08-09
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] 差分方程式から見た関数の初等性2012

    • Author(s)
      西岡斉治
    • Organizer
      つくば微分ガロア理論セミナー
    • Place of Presentation
      筑波大学, 茨城県
    • Year and Date
      2012-12-13
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] 差分リッカチ方程式の標準型

    • Author(s)
      西岡斉治
    • Organizer
      ウィンターセミナー2013
    • Place of Presentation
      KKR湯沢ゆきぐに(新潟県)
    • Data Source
      KAKENHI-PROJECT-24840005
  • [Presentation] 差分代数と超越数論

    • Author(s)
      西岡斉治
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      山形大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24840005

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