# B-functions and holonomic systems

@article{Kashiwara1976BfunctionsAH,
title={B-functions and holonomic systems},
author={Masaki Kashiwara},
journal={Inventiones mathematicae},
year={1976},
volume={38},
pages={33-53}
}
• M. Kashiwara
• Published 1 February 1976
• Mathematics
• Inventiones mathematicae
A b-function of an analytic function f(x) is, by definition, a gcnerator of the ideal formed by the polynomials b(s) satisfying P(s, x, Dx) f (x)" + 1 = b(s) f(x) ~ for some differential operator P(s, x, Dx) which is a polynomial on s. Professor M.Sato introduced the notions of "a-function", "b-function" and "'c-function" for relative invariants on prehomogeneous vector spaces, when he studied the fourier transforms and ~-functions associated with them (see [10, 12]). He defined, in the same…
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© Séminaire Équations aux dérivées partielles (Polytechnique) (École Polytechnique), 1973-1974, tous droits réservés. L’accès aux archives du séminaire Équations aux dérivées partielles
Le polynome de Bernstein d'une singularit6 isolee. Lecture notes in Math
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The theory of b functions. Mater's these presented to Kyoto University (1975) (here we find many interesting examples of b-functions)
• The theory of b functions. Mater's these presented to Kyoto University (1975) (here we find many interesting examples of b-functions)