Parameter shift in normal generalized hypergeometric systems

DOI10.2748/tmj/1178227247zbMath0768.33016OpenAlexW2062678347MaRDI QIDQ1802551

Mutsumi Saito

Publication date: 17 June 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227247

zbMATH Keywords

\(b\)-functionhypergeometric systemsBernstein- Sato polynomialsnormal tonic variety

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Graded rings and modules (associative rings and algebras) (16W50) Functional equations for complex functions (39B32)

Related Items (2)

Quantum cohomology of hypertoric varieties ⋮ Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations

Cites Work

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• Gauss-Manin connection of integral of difference products
• Generalized Euler integrals and \(A\)-hypergeometric functions
• On vanishing of cohomology attached to certain many valued meromorphic functions
• Normality of affine toric varieties associated with Hermitian symmetric spaces
• Multiple Hypergeometric Functions and Simple Lie Groups ${\bf {\text{SL}}}$ and ${\bf {\text{Sp}}}$
• THE GEOMETRY OF TORIC VARIETIES
• The Lie Theory of Two-Variable Hypergeometric Functions

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