Opuscula Mathematica
Opuscula Math. 35, no. 5 (2015), 665-688

Katz's middle convolution and Yokoyama's extending operation

Toshio Oshima
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.
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About the authors ▼
Toshio Oshima
Josai University, Faculty of Science, 2-3-20, Hirakawacho, Chiyodaku, Tokyo 102-0093, Japan
About the article ▼
Communicated by P.A. Cojuhari.
Received: 2014-02-28.
Revised: 2014-12-06.
Accepted: 2015-01-17.
Published online: 2015-04-27.
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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