"K. Mimachi,T.Takamuki","A generalization of the Beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types B<sub>n, C</sub>n and D_n",,"Kyushu J. Math.",,"Vol. 59",,"pp. 117--126",2005,
"K. Mimachi","Homological representations of the Iwahori-Hecke algebra associated with a Selberg type integral",,"International Mathematics Research Notices",,"Vol. 33",,"pp. 2031--2057",2005,
"K. Mimachi,M.Yoshida","Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory",,"Commun. Math. Phys",,"Vol. 250",,"pp. 23--45",2004,
"K. Mimachi,K.Ohara,M.Yoshida","Intersection numbers for loaded cycles associated with Selberg integrals",,"Tohoku Math. J .",,"Vol. 56",,"pp. 531--551",2004,
"堀田良之,渡辺敬一,庄司俊明,三町勝久","代数学百科 I「群論の進化」",,,"朝倉書店",,,,2004,
"K. Mimachi,M.Yoshida","The reciplocity relation of the Selberg function",,"J. Computational and Applied Math.",,"Vol. 160",,"pp. 209--215",2003,
"K. Mimachi,M.Yoshida","Intersection numbers of twisted cycles and the correlation functions of the conformal field theory",,"Commun. Math. Phys.",,"Vol. 234",,"pp. 265--281",2003,
"K. Mimachi,H. Ochiai,M.Yoshida","Intersection theory for loaded cycles IV -- resonant cases",,"Math. Nachr.",,"Vol. 260",,"pp. 67--77",2003,
"Katsuhisa Mimachi","A duality of the Macdonald-Koornwinder polynomials and its application to the integral representations",,"Duke Math. J.",,"Vol. 107",,"pp. 265-281",2001,
"Katsuhisa Mimachi","Askey-Wilson polynomials by means of a $q$-Selberg type integral",,"Adv. in Math.",,"Vol. 147",,"pp. 315-327",1999,
"Katsuhisa Mimachi","Integral representations of the Wilson polynomials and the continuous dual Hahn polynomials",,"Adv. in Appl. Math.",,"Vol. 23",,"pp. 340-359",1999,
"Katsuhisa Mimachi","A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial",,"J. Math. Anal. and Appl.",,"Vol. 234",,"pp. 67-76",1999,
"Katsuhisa Mimachi","Barnes type integral and the Meixner-Pollaczek polynomials",,"Lett. Math. Phys.",,"Vol. 48",,"pp. 365-373",1999,
"Katsuhisa Mimachi","Eigenfunctions of Macdonald's $q$-difference operator for the root system of type $C_n\;$",,"J. Funct. Anal.",,"Vol. 163",,"pp. 272-278",1999,
"Katsuhisa Mimachi","A reproducing kernel for nonsymmetric Macdonald polynomials",,"Duke Math. J.",,"Vol. 91",,"pp. 621-634",1998,
"Katsuhisa Mimachi","The little $q$-Jacobi polynomial associated with a $q$-Selberg integral",,"Funkt. Ekvac.",,"Vol. 41",,"pp. 91-100",1998,
"Katsuhisa Mimachi","A new derivation of the inner product formula for the Macdonald symmetric polynomials",,"Composit. Math.",,"Vol. 113",,"pp. 117-122",1998,
"Katsuhisa Mimachi","A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n\;$",,"Commun. Math. Phys.",,"Vol. 197",,"pp. 229-246",1998,
"Katsuhisa Mimachi","An integral representation of eigenfunctions for Macdonald's $q$-difference operators",,"Tohoku Math. J.",,"Vol. 49",,"pp. 517-525",1997,
"Katsuhisa Mimachi","A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of Macdonald type",,"Duke Math. J.",,"Vol. 85",,"pp. 635-658",1996,
"Katsuhisa Mimachi","Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials",,"Commun. Math. Phys.",,"Vol. 174",,"pp. 447-455",1995,
"Katsuhisa Mimachi","A hypergeometric integral attached to the configuration of the mirrors of the reflection group $S<sub>{n+2}$ acting on  $P</sub>n$",,"Kyushu J. Math.",,"Vol. 49",,"pp. 11-34",1995,
"Katsuhisa Mimachi","An integral representation of the solution of a fourth order Fuchsian differential equation of Okubo type",,"Funkt. Ekvac.",,"Vol. 38",,"pp. 411-416",1995,
"Katsuhisa Mimachi","Holonomic $q$-difference system of the first order associated with a Jackson integral of Selberg type",,"Duke Math. J.",,"Vol. 73",,"pp. 453-468",1994,
"Katsuhisa Mimachi","One-point functions for the XXZ model and Ramanujan's $<sub>1\Psi</sub>1$ sum",,"J. Phys. A: Math. Gen.",,"Vol. 27",,"pp. 4157-4159",1994,
"Katsuhisa Mimachi","Macdonald's operator from the center of the quantized universal enveloping algebra $U_q(gl(N))$",,"International Mathematics Research Notices",,"Vol. 10",,"pp. 415-424",1994,
"Katsuhisa Mimachi","Holonomic $q$-difference system associated with the basic hypergeometric series $<sub>{n+1}\varphi</sub>n\,$",,"Tohoku Math. J.",,"Vol. 45",,"pp. 485-490",1993,
"Katsuhisa Mimachi","Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral",,,,,,,1993,
"Katsuhisa Mimachi","Finite dimensional representations of the quantum group $GL<sub>q(n;C)$ and the zonal spherical functions on $U</sub>q(n-1)/U_q(n)$",,"Japanese J. Math.",,"Vol. 19",,"pp. 31-80",1993,
"Katsuhisa Mimachi","Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral",,"Nagoya Math. J.",,"Vol. 132",,"pp. 43-62",1993,
"Katsuhisa Mimachi","A solution of Yang-Baxter equation as connection coefficients of a holonomic $q$-difference system",,"Duke Math. J.",,"Vol. 65",,"pp. 7-15",1992,
"Katsuhisa Mimachi","Spherical functions on a family of quantum 3-spheres",,"Composit. Math.",,"Vol. 83",,"pp. 19-42",1992,
"Katsuhisa Mimachi","Askey-Wilson polynomials as spherical functions on SU_q(2)",,"Lecture Notes in Math.",,"Vol. 1510",,"pp. 98--103",1992,
"Katsuhisa Mimachi","Representation of the quantum group $SU_q(2)$  and the little $q$-Jacobi polynomials",,"J. Funct. Anal.",,"Vol. 99",,"pp. 357-386",1991,
"Katsuhisa Mimachi","Rogers' $q$-ultraspherical polynomials on a quantum 2-sphere",,"Duke Math. J.",,"Vol. 63",,"pp. 65-80",1991,
"Katsuhisa Mimachi","Unitary representations of the quantum group $SU<sub>q(1,1)$: Structure of the dual Space of $U</sub>q(sl(2))$",,"Lett. Math.Phys.",,"Vol. 19",,"pp. 187-194",1990,
"Katsuhisa Mimachi","Quantum 2-spheres and big $q$-Jacobi polynomials",,"Commun. Math. Phys.",,"Vol. 128",,"pp. 521-531",1990,
"Katsuhisa Mimachi","Big $q$-Jacobi polynomials, $q$-Hahn polynomials and a family of quantum 3-spheres",,"Lett. Math. Phys.",,"Vol. 19",,"pp. 299-305",1990,
"Katsuhisa Mimachi","Askey-Wilson polynomials and the quantum group $SU_q (2)$",,"Proc. Japan Acad.",,"Vol. 68",,"pp. 146-149",1990,
"T.Masuda,K. Mimachi,Y.Nakagami,M.Noumi,Y. Saburi,K.Ueno","Matrix elements of unitary representations of the quantum group $SU_q(1,1)$ and the basic hypergeometric functions",,"Differential geometric methods in theoretical physics",,,,"pp. 331-343",1990,
"Katsuhisa Mimachi","Representation of quantum groups",,"Progress in Math",,"Vol. 84",,,1990,
"Katsuhisa Mimachi","Unitary representations of the quantum group $SU_q(1,1)$:II-Matrix elements of Unitary representations and the basic hypergeometric functions",,"Lett. Math. Phys.",,"Vol. 19",,"pp. 195-204",1990,
"Katsuhisa Mimachi","Zonal spherical functions on the quantum homogeneous space $SU<sub>q(n+1)/SU</sub>q(n)$",,"Proc. Japan Acad",,"Vol. 65",,,1989,
"Katsuhisa Mimachi","Connection problem in holonomic $q$-difference system associated with a Jackson integral of Jordan-Pochhammer type",,"Nagoya Math. J",,"Vol. 116",,,1989,
"Katsuhisa Mimachi","Representations of the quantum groups and a q-analogue of orthogonal polynomials",,"C.R. Acad. Sci. Paris",,"Vol. 307",,,1988,
"Katsuhisa Mimachi","A proof of Ramanujan's identity by use of loop integrals",,"SIAM J. Math. Anal.",,"Vol. 19",,,1988,