Gröbner deformations of hypergeometric differential equations M Saito, B Sturmfels, N Takayama
Springer Science & Business Media, 2013
622 2013 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
143 2001 Gröbner basis and the problem of contiguous relations N Takayama
Japan Journal of Applied Mathematics 6, 147-160, 1989
132 1989 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
97 2011 An approach to the zero recognition problem by Buchberger algorithm N Takayama
Journal of Symbolic Computation 14 (2-3), 265-282, 1992
86 1992 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
83 1999 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
83 1990 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
72 2013 Macaulay matrix for Feynman integrals: linear relations and intersection numbers V Chestnov, F Gasparotto, MK Mandal, P Mastrolia, SJ Matsubara-Heo, ...
Journal of High Energy Physics 2022 (9), 1-57, 2022
61 2022 Gröbner basis, integration and transcendental functions N Takayama
Proceedings of the international symposium on Symbolic and algebraic …, 1990
54 1990 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
47 2013 A Localization Algorithm forD-modules T Oaku, N Takayama, U Walther
Journal of Symbolic Computation 29 (4-5), 721-728, 2000
47 2000 Gröbner bases and hypergeometric functions B Sturmfels, N Takayama
London Mathematical Society Lecture Note Series, 246-258, 1998
45 1998 Construction of Voronoi diagram on the upper half-plane K Onishi, N Takayama
IEICE Transactions on Fundamentals of Electronics, Communications and …, 1996
38 1996 Quadratic relations for generalized hypergeometric functions pFp-1 K Ohara, Y Sugiki, N Takayama
Funkcialaj Ekvacioj 46 (2), 213-251, 2003
36 2003 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
36 2001 Holonomic gradient descent for the Fisher–Bingham distribution on the T Koyama, H Nakayama, K Nishiyama, N Takayama
Computational Statistics 29 (3), 661-683, 2014
32 2014 An algorithm for finding recurrence relations of binomial sums and its complexity N Takayama
Journal of Symbolic Computation 20 (5-6), 637-651, 1995
31 1995 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
30 1991 Algebra, Geometry and Software Systems M Joswig, N Takayama
Springer Science & Business Media, 2013
29 2013 