Opuscula Mathematica
Opuscula Math. 35, no. 5 (), 665-688
Opuscula Mathematica

Katz's middle convolution and Yokoyama's extending operation

Abstract. 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.
Keywords: Fuchsian systems, middle convolution.
Mathematics Subject Classification: 34M35, 34M40, 34M15.
Cite this article as:
Toshio Oshima, Katz's middle convolution and Yokoyama's extending operation, Opuscula Math. 35, no. 5 (2015), 665-688, http://dx.doi.org/10.7494/OpMath.2015.35.5.665
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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