Jyoichi Kaneko

most citedPfaffian of Appell's hypergeometric system

F_{4}

in terms of the intersection form of twisted cohomology groups

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2024

A system of hypergeometric differential equations in $m$ variables of rank $p^{m}$

Jyoichi Kaneko, Keiji Matsumoto, Katsuyoshi Ohara +1

We define a hypergeometric series in $m$ variables with $p + (p - 1) m$ parameters, which reduces to the generalized hypergeometric series $_{p} F_{p - 1}$ when $m = 1$ , and to Lauricella's hy…

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…

A system of hypergeometric differential equations in m variables of rank pm

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

A system of hypergeometric differential equations in $m$ variables of rank $p^{m}$

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