Regular singular differential equations

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)