First Order Algebraic Differential Equations [electronic resource] : A Differential Algebraic Approach / edited by Michihiko Matsuda.
Material type: TextSeries: Lecture Notes in Mathematics ; 804Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1980Description: VI, 111 p. online resourceContent type:- text
- computer
- online resource
- 9783540393115
- 515 23
- QA299.6-433
Differential algebraic function field of one variable -- Movable singularities -- Fuchs' theorem -- Extensions of the coefficient field -- Briot-Bouquet's theorem -- Clairaut fields -- Poincaré fields -- Analogs of addition formulae for elliptic functions -- Poincaré fields generated by the constants -- Poincaré fields of characteristic 0 -- Automorphisms of an elliptic field -- Differential automorphisms -- Differential automorphisms of a Poincaré field -- Riccati fields of characteristic 0 -- Weierstrass points -- Clairaut fields of characteristic 0 -- Movable singularities in case of characteristic 0 -- Differential Lefschetz principle.
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