99 citations · 153 across the 10 of their papers we have counts for
11 papers
A Kac-Moody root system and linear ordinary differential equations
Toshio Oshima
We show that every irreducible linear differential equations on the Riemann sphere with regular and/or unramified irregular singularities can be transformed into either the trivial…
On convergence of basic hypergeometric series
Toshio Oshima
We examine the convergence of -hypergeometric series when .
Finite multiplicity theorems for induction and restriction
Toshiyuki Kobayashi, Toshio Oshima
We find upper and lower bounds of the multiplicities of irreducible admissible representations of a semisimple Lie group occurring in the induced representations …
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…
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Toshio Oshima, Nobukazu Shimeno
We characterize the image of the Poisson transform on any distinguished boundary of a Riemannian symmetric space of the noncompact type by a system of differential equations. The s…
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…