TY - JOUR ID - Oshima2015 LB - Oshima2015 AU - Oshima, Toshio TI - Katz's middle convolution and Yokoyama's extending operation ST - Katz's middle convolution and Yokoyama's extending operation JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2015 VL - 35 IS - 5 SP - 665 EP - 688 DO - http://dx.doi.org/10.7494/OpMath.2015.35.5.665 UR - http://dx.doi.org/10.7494/OpMath.2015.35.5.665 AB - We give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchsian systems on the Riemann sphere. KW - Fuchsian systems KW - middle convolution SN - 1232-9274 ER -