Y. Goto

activity

20132022

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

36 citations · 71 across the 15 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.AG2013★ 3 cited

Twisted period relations for Lauricella's hypergeometric function F_A

Yoshiaki Goto

We study Lauricella's hypergeometric function $F_{A}$ of $m$ -variables and the system $E_{A}$ of differential equations annihilating $F_{A}$ , by using twisted (co)homology groups. We con…

math.AG2013★ 1 cited

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

Yoshiaki Goto, Keiji Matsumoto

We consider the system $F_{4} (a, b, c)$ of differential equations annihilating Appell's hypergeometric series $F_{4} (a, b, c; x)$ . We find the integral representations for four li…

math.AG2013★ 36 cited

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

Yoshiaki Goto

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. Th…