Open Access
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 $F_C$.

Citation

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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

Information

Published: July, 2014
First available in Project Euclid: 24 July 2014

zbMATH: 1312.33043
MathSciNet: MR3238325
Digital Object Identifier: 10.2969/jmsj/06630981

Subjects:
Primary: 33C65
Secondary: 14F10 , 32C38

Keywords: $A$-hypergeometric systems , $D$-module , Gröbner basis , Lauricella's hypergeometric differential equation , singular locus

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 3 • July, 2014
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