Nishioka Seiji 西岡斉治

… Alternative Names

NISHIOKA Seiji 西岡斉治

Less

Researcher Number	10632226
Other IDs
Affiliation (Current)	2025: 山形大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help	2013 – 2023: 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 Basic Section 12010:Basic analysis-related / Basic analysis / Global analysis
Keywords	Principal Investigator 差分代数 / 超超越性 / 差分方程式 / 微分代数 / 既約性 / 微分差分体 / 強正規拡大 / 微分超越性 / マーラー関数 / 超越数論 … More / 可解性 / qエアリー方程式 / 差分リッカチ方程式 / 分解可能拡大 / パンルヴェ方程式 / 代数的差分方程式 / 超越性 / 離散パンルヴェ方程式 Less

Research Projects
(4 results)
Research Products
(20 results)

関数方程式の解の微分代数・差分代数による研究Principal Investigator
- Principal Investigator
  
  西岡斉治
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Yamagata University
Differential/difference algebraic properties of solutions of difference equationsPrincipal Investigator
- Principal Investigator
  
  NISHIOKA Seiji
- Project Period (FY)
  2018 – 2023
- 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 2022 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

[Journal Article] Differential Transcendence of Solutions of the Difference Equation $$\Delta y=ay^2+by+c$$2022
- Author(s)
  Nishioka Seiji
- Journal Title
  
  Results in Mathematics
  
  Volume: 77 Issue: 5
- DOI
  10.1007/s00025-022-01731-3
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03318
[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 Issue: 3-4 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 Issue: 9 Pages: 1452-1462
- 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

Nishioka Seiji 西岡 斉治

NISHIOKA Seiji 西岡 斉治

Research Projects

Research Products

関数方程式の解の微分代数・差分代数による研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Differential/difference algebraic properties of solutions of difference equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on irreducibility of algebraic difference equations and differential transcendence of solutionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Irreducibility and hypertranscendence of non-linear difference equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Differential Transcendence of Solutions of the Difference Equation $$\Delta y=ay^2+by+c$$2022

Author(s)

Journal Title

DOI

Data Source

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

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Proof of unsolvability of q-Bessel equation using valuations2016

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Autonomous equations of Mahler type and transcendence2015

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Functions satisfying Poincare's multiplication formula2014

Author(s)

Journal Title

Data Source

[Journal Article] Solutions to a q-analog of Painleve III equation of type D7(1)2013

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic independence of solutions of first-order rational difference equations2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Approximation of Poincare's new functions by rational functions2013

Author(s)

Journal Title

DOI

Data Source

[Presentation] q-Airy方程式の解の超超越性2017

Author(s)

Organizer

Data Source

[Presentation] Irreducibility of difference Painleve equations2016

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Double-Angle Formulae and Algebraic Independence2015

Author(s)

Organizer

Place of Presentation

Nishioka Seiji 西岡斉治

NISHIOKA Seiji 西岡斉治