Tajima, Shinichi; Nabeshima, Katsusuke; Ohara, Katsuyoshi; Umeta, Yoko Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Gröbner systems of PBW algebra. (English) Zbl 07700018 Math. Comput. Sci. 17, No. 1, Paper No. 6, 22 p. (2023). MSC: 14H20 PDFBibTeX XMLCite \textit{S. Tajima} et al., Math. Comput. Sci. 17, No. 1, Paper No. 6, 22 p. (2023; Zbl 07700018) Full Text: DOI
Ohara, Katsuyoshi; Tajima, Shinichi An algorithm for computing Grothendieck local residues. II: General case. (English) Zbl 1457.32006 Math. Comput. Sci. 14, No. 2, 483-496 (2020). MSC: 32A27 13N10 32C38 PDFBibTeX XMLCite \textit{K. Ohara} and \textit{S. Tajima}, Math. Comput. Sci. 14, No. 2, 483--496 (2020; Zbl 1457.32006) Full Text: DOI arXiv
Kaneko, Jyoichi; Matsumoto, Keiji; Ohara, Katsuyoshi The structure of a local system associated with a hypergeometric system of rank 9. (English) Zbl 1439.33005 Int. J. Math. 31, No. 3, Article ID 2050021, 27 p. (2020). MSC: 33C70 32S40 PDFBibTeX XMLCite \textit{J. Kaneko} et al., Int. J. Math. 31, No. 3, Article ID 2050021, 27 p. (2020; Zbl 1439.33005) Full Text: DOI
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. (English) Zbl 1428.13047 J. Symb. Comput. 89, 146-170 (2018). Reviewer: Rolf Källström (Gävle) MSC: 13P10 13D45 13J05 14F10 32A27 32C37 PDFBibTeX XMLCite \textit{K. Nabeshima} et al., J. Symb. Comput. 89, 146--170 (2018; Zbl 1428.13047) Full Text: DOI
Kaneko, Jyoichi; Matsumoto, Keiji; Ohara, Katsuyoshi A system of hypergeometric differential equations in two variables of rank 9. (English) Zbl 1364.33016 Int. J. Math. 28, No. 3, Article ID 1750015, 34 p. (2017). MSC: 33C70 32S40 PDFBibTeX XMLCite \textit{J. Kaneko} et al., Int. J. Math. 28, No. 3, Article ID 1750015, 34 p. (2017; Zbl 1364.33016) Full Text: DOI arXiv
Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki Properties and applications of Fisher distribution on the rotation group. (English) Zbl 1283.60011 J. Multivariate Anal. 116, 440-455 (2013). MSC: 60B15 62F10 62H11 90C52 60E05 PDFBibTeX XMLCite \textit{T. Sei} et al., J. Multivariate Anal. 116, 440--455 (2013; Zbl 1283.60011) Full Text: DOI arXiv
Mimachi, Katsuhisa; Ohara, Katsuyoshi; Yoshida, Masaaki Intersection numbers for loaded cycles associated with Selberg-type integrals. (English) Zbl 1093.32012 Tohoku Math. J., II. Ser. 56, No. 4, 531-551 (2004). Reviewer: Corina Baciu (Mainz) MSC: 32S20 34M35 33C70 PDFBibTeX XMLCite \textit{K. Mimachi} et al., Tôhoku Math. J. (2) 56, No. 4, 531--551 (2004; Zbl 1093.32012) Full Text: DOI