26 citations · 52 across the 7 of their papers we have counts for
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math.CA2011★ 5 cited
Fractional calculus of Weyl algebra and Fuchsian differential equations
Toshio Oshima
We give a unified interpretation of confluences, contiguity relations and Katz's middle convolutions for linear ordinary differential equations with polynomial coefficients and the…
math.CA2008★ 3 cited
Katz's middle convolution and Yokoyama's extending operation
Toshio Oshima
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 Fuchs…
math.CA2008★ 26 cited
Classification of Fuchsian systems and their connection problem
Toshio Oshima
We review the Deligne-Simpson problem, a combinatorial structure of middle convolutions and their relation to a Kac-Moody root system discoverd by Crawley-Boevey. We show with exam…