Hiromasa Nakayama

activity

20062026

most citedHolonomic Gradient Descent for the Fisher-Bingham Distribution on the

d

-dimensional Sphere

7 citations · 14 across the 8 of their papers we have counts for

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math.CA2013★ 1 cited

Groebner basis and singular locus of Lauricella's hypergeometric differential equations

Hiromasa Nakayama

We derive Groebner bases for Lauricella's hypergeometric differential equations $I_{A} (m), I_{B} (m), I_{C} (m)$ with respect to a monomial order. By using these Groebner bases, we determi…

math.CA2012★ 2 cited

The Holonomic Rank of the Fisher-Bingham System of Differential Equations

Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama +1

The Fisher-Bingham system is a system of linear partial differential equations satisfied by the Fisher-Bingham integral for the $n$ -dimensional sphere $S^{n}$ . The system is given in…