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arXiv · 1310.4243

The monodromy representation and twisted period relations for Appell's hypergeometric function F_4

Yoshiaki Goto·Keiji Matsumoto
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Abstract

We consider the system $\mathcal{F}_4(a,b,c)$ of differential equations annihilating Appell's hypergeometric series $F_4(a,b,c;x)$. We find the integral representations for four linearly independent solutions expressed by the hypergeometric series $F_4$. By using the intersection forms of twisted (co)homology groups associated with them, we provide the monodromy representation of $\mathcal{F}_4(a,b,c)$ and the twisted period relations for the fundamental systems of solutions of $\mathcal{F}_4$.

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Yoshiaki Goto, Keiji Matsumoto. 2013-10-16. The monodromy representation and twisted period relations for Appell's hypergeometric function F_4. https://arxiv.org/abs/1310.4243

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