T. Oaku

发表

Algorithms for D-modules - restriction, tensor product, localization, and local cohomology groups

Nobuki Takayama, Toshinori Oaku, N. Takayama, 1998 .

Properties of powers of functions satisfying second-order linear differential equations with applications to statistics

A. Takemura, T. Oaku, Naoki Marumo, 2014, 1405.4451.

Analytic hypo-ellipticity and propagation of regularity for a system of microdifferential equations with non-involutory characteristics

T. Oaku, 1984 .

Polynomial and rational solutions of holonomic systems

N. Takayama, T. Oaku, H. Tsai, 2000, math/0001064.

Boundary value problem for Fuchsian partial differential equations and reflection of singularities

T. Oaku, 1992 .

Regular b-functions of D-modules

T. Oaku, 2009 .

An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation

N. Takayama, T. Oaku, 1998, math/9801114.

Localization, local cohomology, and the b-function of a D-module with respect to a polynomial

T. Oaku, 2016, 1609.04676.

Annihilators of Laurent coefficients of the complex power for normal crossing singularity

T. Oaku, 2015, 1509.01656.

1 2 Ja n 20 00 Polynomial and Rational Solutions of Holonomic Systems

N. Takayama, T. Oaku, H. Tsai, 2008 .

A Localization Algorithm for D-modules

N. Takayama, U. Walther, T. Oaku, 1998, J. Symb. Comput..

Algorithms for D-modules - restriction, tensor product, localization, and local cohomology groups

N. Takayama, T. Oaku, 1998, math/9805006.

Algorithms for $b$-functions, induced systems, and algebraic local cohomology of $D$-modules

T. Oaku, 1996 .

Algorithmic Aspects of

T. Oaku, 2018 .

Algorithms forb-Functions, Restrictions, and Algebraic Local Cohomology Groups ofD-Modules

Toshinori Oaku, T. Oaku, 1997 .

Algorithms for finding the structure of solutions of a system of linear partial differential equations

Toshinori Oaku, T. Oaku, 1994, ISSAC '94.

Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients

Toshinori Oaku, T. Oaku, 1994 .

Minimal filtered free resolutions for analytic $D$-modules : Extended abstract (Recent Trends in Microlocal Analysis)

Toshinori Oaku, Michel Granger, T. Oaku, 2004 .

Minimal Free Resolutions of Homogenized D-modules

Nobuki Takayama, Toshinori Oaku, N. Takayama, 2001, J. Symb. Comput..

Some algorithmic aspects of the D-module theory

Toshinori Oaku, T. Oaku, 1997 .

Algorithms for $D$-modules, integration, and generalized functions with applications to statistics

Toshinori Oaku, T. Oaku, 2018 .

An attempt to compute holonomic systems for Feynman integrals in two-dimensional space-time

T. Oaku, 2017 .

Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities pdf

Toshinori Oaku, T. Oaku, 2011, J. Symb. Comput..

A new formulation of local boundary value problem in the framework of hyperfunctions, I

T. Oaku, 1984 .

Removable singularities of real analytic solutions of Fuchsian partial differential equations

T. Oaku, 1985 .

F-mild Hyperfunctions and Fuchsian Partial Differential Equations

T. Oaku, 1984 .

General Boundary Value Problems in the Framework of Hyperfunctions

T. Oaku, 1986 .

Higher-codimensional boundary value problems and F -mild microfunctions -local and microlocal uniqueness-

T. Oaku, S. Yamazaki, 1998 .

A canonical form of a system of microdifferential equations with non-involutory characteristics and branching of singularities

T. Oaku, 1982 .

Higher-Codimensional Boundary Value Problem and F-Mild Hyperfunctions

T. Oaku, 1988 .

Micro-local Cauchy problems and local boundary value problems

T. Oaku, 1979 .

An algorithm of computing $b$-functions

Toshinori Oaku, T. Oaku, 1997 .

Properties of powers of functions satisfying second-order linear differential equations with applications to statistics

A. Takemura, T. Oaku, Naoki Marumo, 2015, Japan Journal of Industrial and Applied Mathematics.

ALGEBRAIC ALGORITHMS FOR D-MODULES AND NUMERICAL ANALYSIS

Nobuki Takayama, Toshinori Oaku, Yoshinao Shiraki, 2003 .

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Properties of Powers of Functions Satisfying Second-Order Linear Differential Equations with Applications to Statistics

T. Oaku, Naoki Marumo, 2014 .

Algorithm for computing local Bernstein-Sato ideals

T. Oaku, R. Bahloul, 2008, 0806.4869.

Local Bernstein-Sato ideals: Algorithm and examples

Toshinori Oaku, Rouchdi Bahloul, T. Oaku, 2010, J. Symb. Comput..

Length and multiplicity of the local cohomology with support in a hyperplane arrangement

T. Oaku, 2015, 1509.01813.

Algorithms for the b-function and D-modules associated with a polynomial

Toshinori Oaku, T. Oaku, 1997 .

Gröbner bases for $D$-modules on a non-singular affine algebraic variety

Toshinori Oaku, T. Oaku, 1996 .

A localization algorithm for $D$-modules and its application (Microlocal Analysis and PDE in the Complex Domain)

Toshinori Oaku, T. Oaku, 2000 .