9 citations · 13 across the 9 of their papers we have counts for
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Logarithmic A-hypergeometric series II
Go Okuyama, Mutsumi Saito
In this paper, following [6], we continue to develop the perturbing method of constructing logarithmic series solutions to a regular A-hypergeometric system. Fixing a fake exponent…
Logarithmic A-hypergeometric series
Mutsumi Saito
The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, wh…
Logarithm-free A-hypergeometric series
Mutsumi Saito
We give a dimension formula for the space of logarithm-free series solutions to an A-hypergeometric (or a GKZ hypergeometric) system. In the case where the convex hull spanned by A…
Isomorphism classes of A-hypergeometric systems
Mutsumi Saito
For a finite set A of integral vectors, Gel'fand, Kapranov and Zelevinskii defined a system of differential equations with a parameter vector as a D-module, which system is called…