Mimachi, Katsuhisa Nakagiri’s monodromy representations associated with Appell’s hypergeometric functions \(F_2\) and \(F_3\). (English) Zbl 1384.33027 Funkc. Ekvacioj, Ser. Int. 60, No. 1, 77-132 (2017). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33C65 32S40 33C60 34M35 58K10 14D05 PDFBibTeX XMLCite \textit{K. Mimachi}, Funkc. Ekvacioj, Ser. Int. 60, No. 1, 77--132 (2017; Zbl 1384.33027) Full Text: DOI
Mimachi, Katsuhisa; Sasaki, Takeshi Reducibility of the systems of differential equations satisfied by Appell’s \(F_2\), \(F_3\) and \(F_4\). (English) Zbl 1329.33020 Kyushu J. Math. 69, No. 2, 429-435 (2015). MSC: 33C65 32S40 PDFBibTeX XMLCite \textit{K. Mimachi} and \textit{T. Sasaki}, Kyushu J. Math. 69, No. 2, 429--435 (2015; Zbl 1329.33020) Full Text: DOI
Mimachi, Katsuhisa; Sasaki, Takeshi Monodromy representations associated with Appell’s hypergeometric function \(F_1\) using integrals of a multivalued function. (English) Zbl 1259.33028 Kyushu J. Math. 66, No. 1, 89-114 (2012). MSC: 33C65 33C60 32S40 PDFBibTeX XMLCite \textit{K. Mimachi} and \textit{T. Sasaki}, Kyushu J. Math. 66, No. 1, 89--114 (2012; Zbl 1259.33028) Full Text: DOI
Mimachi, Katsuhisa; Sasaki, Takeshi Irreducibility and reducibility of Lauricella’s system of differential equations \(E_D\) and the Jordan-Pochhammer differential equation \(E_{JP}\). (English) Zbl 1259.33025 Kyushu J. Math. 66, No. 1, 61-87 (2012). MSC: 33C60 33C65 32S40 PDFBibTeX XMLCite \textit{K. Mimachi} and \textit{T. Sasaki}, Kyushu J. Math. 66, No. 1, 61--87 (2012; Zbl 1259.33025) Full Text: DOI
Mimachi, Katsuhisa; Sasaki, Takeshi Monodromy representations associated with the Gauss hypergeometric function using integrals of a multivalued function. (English) Zbl 1259.33007 Kyushu J. Math. 66, No. 1, 35-60 (2012). MSC: 33C05 33C60 32S40 PDFBibTeX XMLCite \textit{K. Mimachi} and \textit{T. Sasaki}, Kyushu J. Math. 66, No. 1, 35--60 (2012; Zbl 1259.33007) Full Text: DOI
Mimachi, Katsuhisa; Yoshida, Masaaki Regularizable cycles associated with a Selberg type integral under some resonance condition. (English) Zbl 1126.32027 Int. J. Math. 18, No. 4, 395-409 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 32S40 32S20 33C20 33C70 PDFBibTeX XMLCite \textit{K. Mimachi} and \textit{M. Yoshida}, Int. J. Math. 18, No. 4, 395--409 (2007; Zbl 1126.32027) Full Text: DOI arXiv
Mimachi, Katsuhisa Homological representations of the Iwahori-Hecke algebra associated with a Selberg-type integral. (English) Zbl 1129.32017 Int. Math. Res. Not. 2005, No. 33, 2031-2057 (2005). MSC: 32S40 33E20 33D80 81T40 20C08 PDFBibTeX XMLCite \textit{K. Mimachi}, Int. Math. Res. Not. 2005, No. 33, 2031--2057 (2005; Zbl 1129.32017) Full Text: DOI
Mimachi, Katsuhisa; Ochiai, Hiroyuki; Yoshida, Masaaki Intersection theory for loaded cycles. IV: Resonant cases. (English) Zbl 1103.32016 Math. Nachr. 260, 67-77 (2003). MSC: 32S40 32S22 33C20 PDFBibTeX XMLCite \textit{K. Mimachi} et al., Math. Nachr. 260, 67--77 (2003; Zbl 1103.32016) Full Text: DOI
Mimachi, Katsuhisa Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral. (English) Zbl 0833.33012 Nagoya Math. J. 132, 43-62 (1993). Reviewer: I.Serb (Cluj-Napoca) MSC: 33C70 17B45 32L99 32S40 PDFBibTeX XMLCite \textit{K. Mimachi}, Nagoya Math. J. 132, 43--62 (1993; Zbl 0833.33012) Full Text: DOI