Hypergeometric functions for projective toric curves

DOI10.1016/j.aim.2016.03.032zbMath1350.32006arXiv1412.3957OpenAlexW1501734280MaRDI QIDQ304112

Jens Forsgård, Laura Felicia Matusevich, Christine Berkesch Zamaere

Publication date: 23 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3957

zbMATH Keywords

Mellin transformsamoebasA-hypergeometric functionsEuler integralsmonomial curves

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Special families of functions of several complex variables (32A17)

Related Items (3)

Transformation properties of hypergeometric functions and their applications ⋮ On the parametric behavior of $A$-hypergeometric series ⋮ Algebraic aspects of hypergeometric differential equations

Cites Work

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• Generalized Euler integrals and \(A\)-hypergeometric functions
• Hypergeometric functions and rings generated by monomials
• A correction to the paper ``Hypergeometric functions and toric varieties
• Logarithm-free \(A\)-hypergeometric series
• Mellin transforms of multivariate rational functions
• Solving algebraic equations in terms of \(\mathcal A\)-hypergeometric series
• Gröbner deformations of hypergeometric differential equations
• The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
• The rank of a hypergeometric system
• Homological methods for hypergeometric families

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