Abstract
Let M be an algebraic D -module defined on an affine space X and Y be a linear submanifold of X . We give an algorithm to determine if M is regular specializable along Y , and to find, if so, its regular b -function. ( M has a regular b -function by definition if and only if M is regular specializable.) We also prove that the A -hypergeometric system of Gelfand–Kapranov–Zelevinsky is always regular specializable along the origin.
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