Irregular modified $A$-hypergeometric systems

DOI10.1090/S0002-9947-2014-06225-9zbMath1335.32005arXiv1207.1533OpenAlexW2964225094MaRDI QIDQ5251602

Nobuki Takayama, María Cruz Fernández-Fernández, Tatsuya Koike, Francisco-Jesús Castro-Jiménez

Publication date: 20 May 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1533

zbMATH Keywords

hypergeometric systemsLaplace integral representationGevrey series solutions

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) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10)

Related Items (1)

Algebraic aspects of hypergeometric differential equations

Cites Work

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• Monodromy of \(A\)-hypergeometric functions
• Nilsson solutions for irregular A-hypergeometric systems
• Gevrey solutions of irregular hypergeometric systems in two variables
• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Irregular hypergeometric \(\mathcal D\)-modules
• Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Hypergeometric functions and rings generated by monomials
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Slopes of hypergeometric systems of codimension one
• Gröbner deformations of hypergeometric differential equations
• Euler-Mellin integrals and \(A\)-hypergeometric functions
• Hypergeometric functions and toric varieties
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
• Multiple Hypergeometric Functions and Simple Lie Groups ${\bf {\text{SL}}}$ and ${\bf {\text{Sp}}}$
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Pentes algébriques et pentes analytiques d'un -module
• Singularities of the hypergeometric system associated with a monomial curve
• MODIFIED A-HYPERGEOMETRIC SYSTEMS
• Confluent A-hypergeometric functions and rapid decay homology cycles
• Homological methods for hypergeometric families
• Irregular hypergeometric systems associated with a singular monomial curve

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