Weyl closure of hypergeometric systems

DOI10.1007/BF03191207zbMath1180.33020arXiv0707.1120MaRDI QIDQ1027129

Laura Felicia Matusevich

Publication date: 30 June 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1120

zbMATH Keywords

hypergeometric seriesWeyl algebra\(A\)-hypergeometric systemsdifferential annihilator

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10)

Related Items (2)

On Transformations of <i>A</i>-Hypergeometric Functions ⋮ Irreducibility of \(A\)-hypergeometric systems

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Binomial \(D\)-modules
• Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations
• Weyl closure of a linear differential operator
• Generating functional of correlation functions for the nonlinear Schrödinger equation
• Mixed matrices and binomial ideals
• Binomial ideals
• Gröbner deformations of hypergeometric differential equations
• Combinatorics of binomial primary decomposition
• Bivariate hypergeometric \(D\)-modules
• Hypergeometric functions of two variables

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