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arXiv · 1308.5535

Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_C

Yoshiaki Goto
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Abstract

We study Lauricella's hypergeometric function F_C by using twisted (co)homology groups. We construct twisted cycles with respect to an Euler-type integral representation of F_C. These cycles correspond to 2^m linearly independent solutions to the system of differential equations annihilating F_C. Using intersection forms of twisted (co)homology groups, we obtain twisted period relations which give quadratic relations for Lauricella's F_C.

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Yoshiaki Goto. 2017-04-02. Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_C. https://doi.org/10.1142/s0129167x13500948

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