The singular locus of Lauricella's F_C

Details The singular locus of Lauricella's F_C The singular locus of Lauricella's F_C

2011-10-31

arxiv.org/abs/1110.6675v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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

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