Jyoichi Kaneko

activity

20152025

most citedPfaffian of Appell's hypergeometric system

F_{4}

in terms of the intersection form of twisted cohomology groups

3 citations · 6 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AG2017★ 3 cited

The fundamental group of the complement of the singular locus of Lauricella's $F_{C}$

Yoshiaki Goto, Jyoichi Kaneko

We study the fundamental group of the complement of the singular locus of Lauricella's hypergeometric function $F_{C}$ of $n$ variables. The singular locus consists of $n$ hyperplane…

math.AG2016

A system of hypergeometric differential equations in two variables of rank 9

Jyoichi Kaneko, Keiji Matsumoto, Katsuyoshi Ohara

We study a hypergeometric function in two variables and a system of hypergeometric differential equations associated with this function. This is a regular holonomic system of rank…

math.AG2015★ 3 cited

Pfaffian of Appell's hypergeometric system $F_{4}$ in terms of the intersection form of twisted cohomology groups

Yoshiaki Goto, Jyoichi Kaneko, Keiji Matsumoto

We study a Pfaffian of the system of differential equations annihilating Appell's hypergeometric series $F_{4} (a, b, c; x)$ by twisted cohomology groups associated with integrals repres…

The fundamental group of the complement of the singular locus of Lauricella's FC​

A system of hypergeometric differential equations in two variables of rank 9

Pfaffian of Appell's hypergeometric system F4​ in terms of the intersection form of twisted cohomology groups

The fundamental group of the complement of the singular locus of Lauricella's $F_{C}$

Pfaffian of Appell's hypergeometric system $F_{4}$ in terms of the intersection form of twisted cohomology groups