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

collaborators

6 papers

math.CA2025

The monodromy representation of a hypergeometric system in $m$ variables of rank $p^{m}$

Jyoichi Kaneko, Keiji Matsumoto, Katsuyoshi Ohara +1

We study the monodromy representation of the hypergeometric system $F_{C}^{p, m} (a, B)$ in $m$ variables of rank $p^{m}$ with parameters $a$ and $B$ . This system can be regar…

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.CA2021

$q$ -Selberg Integrals and Koornwinder Polynomials

Jyoichi Kaneko

We prove a generalization of the $q$ -Selberg integral evaluation formula. The integrand is that of $q$ -Selberg integral multiplied by a factor of the same form with respect to part…

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 monodromy representation of a hypergeometric system in m variables of rank pm

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

q-Selberg Integrals and Koornwinder Polynomials

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