The singular locus of Lauricella's F_C

Abstract

We determine the singular locus of the Lauricella function $F_C$ by utilizing the theory of $D$-modules and Gröbner basis. The $A$-hypergeometric system associated to $F_C$ is also discussed.

16 pages

References in corpus (3)

• Resonance equals reducibility for A-hypergeometric systems
• Irreducibility of A-hypergeometric systems
• An Algorithm of Constructing Cohomological Series Solutions of Holonomic Systems

Cited by in corpus (2)

• Counting the number of master integrals for sunrise-type Feynman diagrams via Mellin-Barnes representation
• Groebner basis and singular locus of Lauricella's hypergeometric differential equations