The singular locus of Lauricella's $F_C$

Ryohei HATTORI; Nobuki TAKAYAMA

doi:10.2969/jmsj/06630981

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July, 2014 The singular locus of Lauricella's $F_C$

Ryohei HATTORI, Nobuki TAKAYAMA

J. Math. Soc. Japan 66(3): 981-995 (July, 2014). DOI: 10.2969/jmsj/06630981

Abstract

We determine the singular locus of the holonomic system of differential equations annihilating Lauricella's hypergeometric function $F_C$ by the theory of $D$-modules and of Gröbner bases. We also study the $A$-hypergeometric system associated to $F_C$.

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Ryohei HATTORI. Nobuki TAKAYAMA. "The singular locus of Lauricella's $F_C$." J. Math. Soc. Japan 66 (3) 981 - 995, July, 2014. https://doi.org/10.2969/jmsj/06630981