ON MELLIN-BARNES INTEGRAL REPRESENTATIONS FOR GKZ HYPERGEOMETRIC FUNCTIONS

DOI10.2206/kyushujm.74.109zbMath1446.33008arXiv1802.04939OpenAlexW3042908770MaRDI QIDQ5119867

Saiei-Jaeyeong Matsubara-Heo

Publication date: 1 September 2020

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04939

zbMATH Keywords

rapid decay homologyLaplace integral representationsGKZ hypergeometric functionsMellin-Barnes integral representations

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (2)

Certain fractional formulas of the extended \(k\)-hypergeometric functions ⋮ Hypergeometric Functions and Feynman Diagrams

Cites Work

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• Periods for flat algebraic connections
• Algebraic \(A\)-hypergeometric functions
• Irregular hypergeometric \(\mathcal D\)-modules
• Hypergeometric functions and rings generated by monomials
• Gröbner deformations of hypergeometric differential equations
• Hypergeometric D-modules and twisted Gauß-Manin systems
• Irreducible quotients ofA-hypergeometric systems
• Integral representations for solutions of exponential Gauß-Manin systems
• General hypergeometric systems of equations and series of hypergeometric type
• Gevrey Expansions of Hypergeometric Integrals I
• Confluent A-hypergeometric functions and rapid decay homology cycles

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