VIDUNAS Raimundas Vidunas R

… Alternative Names

VIDUNAS R ヴィジュナスライマンダス

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Researcher Number	00467680
Affiliation (based on the past Project Information) *help	2017: 大阪大学, 情報科学研究科, 特任助教 2011: 神戸大学, 自然科学系先端科学融合研究環・重点研究部, 助教 2010 – 2011: 神戸大学, 自然科学系先端科学融合研究環重点研究部, 助教 2010: Kobe University, 自然科学先端科学融合研究環重点研究部, 助教 2008 – 2009: Kobe University, 自然科学系先端融合研究環重点研究部, 助教
Review Section/Research Field	Principal Investigator Algebra / Basic analysis
Keywords	Principal Investigator Differential equations / Galois theory / Special functions / Algebraic geometry / Belyi maps / Computer Algebra / Pullback transformations / Isomonodromic problems / Appell's functions / Appell functions … More / hypergeometric functions / Riemann-Hilbert correspondence / Painleve functions / gauge transformations / Pullback変換 / Fuchs方程式 / Painleve関数 / dessins d' enfant / Painleve equations / pullback transformations / Fuchsian equations / monodromy group / Heun functions / Hypergeometric functions / Belyi map / Painleve方程式 / Heun関数 / Appell関数 / 超幾何関数 Less

Research Projects
(2 results)
Research Products
(32 results)

Exploring the world of Belyi mapsPrincipal Investigator
- Principal Investigator
  
  Vidunas R
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Identities between Special FunctionsPrincipal Investigator
- Principal Investigator
  
  VIDUNAS Raimundas
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University

All 2012 2011 2010 2009 2008 Other

All Journal Article Presentation

[Journal Article] Transformations and invariants for dihedral Gauss hypergeometric functions2012
- Author(s)
  R. Vidunas
- Journal Title
  
  Kyushu J. Math
  
  Volume: Vol.66 Pages: 143-170
- NAID
  130002543067
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Dihedral Gauss hypergeometric functions2011
- Author(s)
  R. Vidunas
- Journal Title
  
  Kyushu J. Math
  
  Volume: Vol.65 Pages: 141-167
- NAID
  130000884049
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] A generalization of Clausen's identity2011
- Author(s)
  R. Vidunas
- Journal Title
  
  Ramanujan J
  
  Volume: Vol.26 Pages: 133-146
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Dihedral Gauss hypergeometric functions2011
- Author(s)
  Vidunas Raimundas
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 65 Pages: 141-167
- NAID
  130000884049
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] On singular univariate specializations of bivariate hypergeometric functions2010
- Author(s)
  R. Vidunas
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume: Vol.365 Pages: 135-141
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Algebraic transformations of Gauss hypergeometric functions2009
- Author(s)
  R. Vidunas
- Journal Title
  
  Funkcial. Ekvac
  
  Volume: Vol.52 Pages: 139-180
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Specialization of Appell's functions to univariate hypergeometric functions2009
- Author(s)
  R. Vidunas
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume: Vol.355 Pages: 145-163
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Computation of highly ramified coverings2009
- Author(s)
  R. Vidunas, A. Kitaev
- Journal Title
  
  Math. Comp
  
  Volume: Vol.78 Pages: 2371-2395
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Specialization of Appell's functions to univariate hypergeometric functiong2009
- Author(s)
  R. Vidunas
- Journal Title
  
  Journal of Mathematical Analysis and Applications 355
  
  Pages: 145-163
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Askey-Wilson relations and Leonard pairs2008
- Author(s)
  R. Vidunas
- Journal Title
  
  Discrete Math
  
  Volume: Vol.308 No 4 Pages: 479-495
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Cubic and quartic transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence
- Author(s)
  M. Mazzocco, R. Vidunas
- Journal Title
  
  Studies in Applied Mathematics
  
  Volume: (掲載決定)
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Invariants and transformations for dihedral Gauss hypergeometric functions
- Author(s)
  Vidunas Raimundas
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] A generalization of Clausen's identity
- Author(s)
  Vidunas Raimundas
- Journal Title
  
  Ramanujan Journal
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Computation of Highly Ramified Coverings (to appear)
- Author(s)
  R. Vidunas, A.V. Kitaev
- Journal Title
  
  Mathematics of Computation (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Journal Article] Algebraic transformations of Gauss hypergeometric functions (to appear)
- Author(s)
  R. Vidunas
- Journal Title
  
  Funkcialaj Ekvacioj (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Klein's pullback coverings for algebraic Heun functions2012
- Author(s)
  R. Vidunas
- Organizer
  アクセサリー・パラメーター研究会
- Place of Presentation
  熊本大学
- Year and Date
  2012-03-16
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Isogeny transformations of the Picard and Hitchin solutions of the sixth Painleve equation2012
- Author(s)
  R. Vidunas
- Organizer
  超幾何方程式研究会
- Place of Presentation
  神戸大学
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Analysis of Spline Curvature2011
- Author(s)
  R. Vidunas
- Organizer
  3rd Annual Fall School "Shapes, Geometry and Algebra"
- Place of Presentation
  Vilnius
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric functions of the hyperbolic type2011
- Author(s)
  R. Vidunas
- Organizer
  超幾何方程式研究会2011
- Place of Presentation
  神戸大学
- Year and Date
  2011-01-05
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Formulas for tetrahedral Gauss hypergeometric functions2011
- Author(s)
  R. Vidunas
- Organizer
  The 11th International Symposium on Orthogonal Polynomials, Special Functions and Applications(OPSFA11)
- Place of Presentation
  Madrid
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric functions of the hyperbolic type2011
- Author(s)
  Vidunas Raimundas
- Organizer
  超幾何方程式研究会2011
- Place of Presentation
  神戸大学(兵庫県)
- Year and Date
  2011-01-05
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Algebraic hypergeometric functions2010
- Author(s)
  Vidunas Raimundas
- Organizer
  Prof.Misawa's seminar
- Place of Presentation
  熊本大学(熊本県)
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric equations2010
- Author(s)
  R. Vidunas
- Organizer
  超幾何方程式研究会2010
- Place of Presentation
  神戸大学
- Year and Date
  2010-01-06
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Computation of a Belyi map of degree 342010
- Author(s)
  R.Vidunas, G.Filipuk, M.vanHoeij
- Organizer
  International Congress on Mathematical Software 2010 (poster session)
- Place of Presentation
  神戸大学(兵庫県)
- Year and Date
  2010-09-16
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric equations2010
- Author(s)
  Vidunas Raimundas
- Organizer
  Prof.Haraoka's seminar
- Place of Presentation
  熊本大学(熊本県)
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric equations2010
- Author(s)
  R. Vidunas
- Organizer
  RIMS Workshop "Analytic Number Theory through Value Distribution and other Properties of Analytic functions"
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Transformations between Heun and hypergeometric equations2010
- Author(s)
  Vidunas Raimundas
- Organizer
  The RIMS workshop "Analytic Number Theory"
- Place of Presentation
  数理解析研究所(京都府)
- Year and Date
  2010-10-06
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Bootstrapping for detection of regime changes in the Dow Jones time series2009
- Author(s)
  R. Vidunas
- Organizer
  ASNA-2009(Asia)
- Place of Presentation
  Ritsumeikan University
- Year and Date
  2009-10-03
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Relations between double hypergeometric sums and univariate hypergeometric functions2009
- Author(s)
  R. Vidunas
- Organizer
  OPSFA10 conference
- Place of Presentation
  Leuven, Belgium
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Identities between Appell's and univariate hypergeometric functions2008
- Author(s)
  R. Vidunas
- Organizer
  The seminar on automorphic forms by Prof. Takayuki Oda
- Place of Presentation
  東京大学
- Year and Date
  2008-05-24
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Investigating identities between Appell's and univariate hypergeometric functions2008
- Author(s)
  R. Vidunas
- Organizer
  FoCM' 08 (Foundations of Computational Mathematics 2008)
- Place of Presentation
  City University of Hong Kong
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-20740075
[Presentation] Investigating identities between Appell's and univariate hypergeometric functions2008
- Author(s)
  R. Vidunas
- Organizer
  FoCM' 08(Foundations of Computational Mathematics)
- Place of Presentation
  City University of Hong Kong
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-20740075

VIDUNAS Raimundas Vidunas R

VIDUNAS R ヴィジュナス ライマンダス

Research Projects

Research Products

Exploring the world of Belyi mapsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Identities between Special FunctionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Transformations and invariants for dihedral Gauss hypergeometric functions2012

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Dihedral Gauss hypergeometric functions2011

Author(s)

Journal Title

NAID

Data Source

[Journal Article] A generalization of Clausen's identity2011

Author(s)

Journal Title

Data Source

[Journal Article] Dihedral Gauss hypergeometric functions2011

Author(s)

Journal Title

NAID

Data Source

[Journal Article] On singular univariate specializations of bivariate hypergeometric functions2010

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic transformations of Gauss hypergeometric functions2009

Author(s)

Journal Title

Data Source

[Journal Article] Specialization of Appell's functions to univariate hypergeometric functions2009

Author(s)

Journal Title

Data Source

[Journal Article] Computation of highly ramified coverings2009

Author(s)

Journal Title

Data Source

[Journal Article] Specialization of Appell's functions to univariate hypergeometric functiong2009

Author(s)

Journal Title

Data Source

[Journal Article] Askey-Wilson relations and Leonard pairs2008

Author(s)

Journal Title

Data Source

[Journal Article] Cubic and quartic transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence

Author(s)

Journal Title

Data Source

[Journal Article] Invariants and transformations for dihedral Gauss hypergeometric functions

Author(s)

Journal Title

Data Source

[Journal Article] A generalization of Clausen's identity

Author(s)

Journal Title

Data Source

[Journal Article] Computation of Highly Ramified Coverings (to appear)

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic transformations of Gauss hypergeometric functions (to appear)

Author(s)

Journal Title

Data Source

[Presentation] Klein's pullback coverings for algebraic Heun functions2012

VIDUNAS R ヴィジュナスライマンダス