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Regular singular differential equations

✍ Scribed by Deligne P.


Publisher
Springer
Year
1970
Tongue
English
Leaves
95
Category
Library

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✦ Table of Contents


Introduction
Dictionary
Local systems and the fundamental group
Integrable connections and local systems
Translation in terms of first-order partial differential equations
nth-order differential equations
Second-order differential equations
Multiform functions of finite determination
Regular connections
Regularity in dimension 1
Growth conditions
Logarithmic poles
Regularity in dimension n
Existence theorem
Comparison theorem
Regularity theorem
Applications and examples
Functions in the Nilsson class
The monodromy theorem (by Brieskorn)


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