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

DOI10.1016/j.jsc.2012.05.004zbMath1284.68683arXiv1108.4853OpenAlexW1969407837MaRDI QIDQ1930156

Toshinori Oaku

Publication date: 10 January 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4853

zbMATH Keywords

Gröbner basisintegrationgeneralized functionholonomic function\(D\)-module

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Partial differential equations on manifolds; differential operators (58J99)

Related Items (4)

Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ Annihilators of distributions associated with algebraic local cohomology of a hypersurface ⋮ Properties of powers of functions satisfying second-order linear differential equations with applications to statistics ⋮ Calculation of orthant probabilities by the holonomic gradient method

Uses Software

• Kan

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