Errata of my papers
(2017.04.02)
- Proposition 2.3 in
Twisted cycles and twisted period relations for Lauricella's hypergeometric function $F_C$
[1]
- Fact 2.3 in
The monodromy representation of Lauricella's hypergeometric function $F_C$
[7]
A $\Gamma$-factor in the integral representation is not correct.
The integral representation should be
$$
F_C (a,b,c_1 ,\ldots ,c_m ,x_1 ,\ldots ,x_m)
=\frac{\Gamma (1-a)}{\prod \Gamma (1-c_k)\cdot \Gamma (\sum c_k -a-m\textcolor{red}{+}1)}
\cdot \int_{\Delta} \prod t_k^{-c_k} \cdot (1-\sum t_k)^{\sum c_k-a-m}
\cdot \left( 1-\sum \frac{x_k}{t_k} \right)^{-b} dt_1 \wedge \cdots \wedge dt_m .
$$
(2023.09.13)
- Lemma 3.4 and the proof of (3.2) in
The fundamental group of the complement of the singular locus of Lauricella's $F_C$
[9]
Please see errata in the web page
10.5427/jsing.2018.17m.
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