Nobuki Takayama
Nobuki Takayama
Department of Mathematics, Kobe University
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Gröbner deformations of hypergeometric differential equations
M Saito, B Sturmfels, N Takayama
Springer Science & Business Media, 2013
Gröbner basis and the problem of contiguous relations
N Takayama
Japan Journal of Applied Mathematics 6 (1), 147-160, 1989
Algorithms for D-modules—restriction, tensor product, localization, and local cohomology groups
T Oaku, N Takayama
Journal of Pure and Applied Algebra 156 (2-3), 267-308, 2001
An approach to the zero recognition problem by Buchberger algorithm
N Takayama
Journal of Symbolic Computation 14 (2-3), 265-282, 1992
An algorithm of constructing the integral of a module--an infinite dimensional analog of Gröbner basis
N Takayama
Proceedings of the international symposium on Symbolic and algebraic …, 1990
An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation
T Oaku, N Takayama
Journal of Pure and Applied Algebra 139 (1-3), 201-233, 1999
Holonomic gradient descent and its application to the Fisher–Bingham integral
H Nakayama, K Nishiyama, M Noro, K Ohara, T Sei, N Takayama, ...
Advances in Applied Mathematics 47 (3), 639-658, 2011
The holonomic gradient method for the distribution function of the largest root of a Wishart matrix
H Hashiguchi, Y Numata, N Takayama, A Takemura
Journal of Multivariate Analysis 117, 296-312, 2013
Gröbner basis, integration and transcendental functions
N Takayama
Proceedings of the international symposium on Symbolic and algebraic …, 1990
Hypergeometric Functions
B Sturmfelst, N Takayama
Gröbner bases and applications 251, 246, 1998
A Localization Algorithm forD-modules
T Oaku, N Takayama, U Walther
Journal of Symbolic Computation 29 (4-5), 721-728, 2000
Evaluation of automated theorem proving on the Mizar Mathematical Library
J Urban, K Hoder, A Voronkov
International Congress on Mathematical Software, 155-166, 2010
Polynomial and rational solutions of holonomic systems
T Oaku, N Takayama, H Tsai
Journal of Pure and Applied Algebra 164 (1-2), 199-220, 2001
Kan: A system for computation in algebraic analysis
N Takayama
Source code available at http://www. math. kobe-u. ac. jp/KAN/, version 1, 1991
Properties and applications of Fisher distribution on the rotation group
T Sei, H Shibata, A Takemura, K Ohara, N Takayama
Journal of Multivariate Analysis 116, 440-455, 2013
Construction of Voronoi diagram on the upper half-plane
K Onishi, N Takayama
IEICE Transactions on Fundamentals of Electronics, Communications and …, 1996
Hypergeometric polynomials and integer programming
M Saito, B Sturmfels, N Takayama
Compositio Mathematica 115 (2), 231-240, 1999
An algorithm for finding recurrence relations of binomial sums and its complexity
N Takayama
Journal of Symbolic Computation 20 (5-6), 637-651, 1995
On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3
K Matsumoto
Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 16 (4), 557-578, 1989
Singularities of the hypergeometric system associated with a monomial curve
F Castro-Jimenez, N Takayama
Transactions of the American Mathematical Society 355 (9), 3761-3775, 2003
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