Title | First Order Algebraic Differential Equations [electronic resource] : A Differential Algebraic Approach / edited by Michihiko Matsuda |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1980 |
Connect to | http://dx.doi.org/10.1007/BFb0091495 |
Descript | VI, 111 p. online resource |
Differential algebraic function field of one variable -- Movable singularities -- Fuchs' theorem -- Extensions of the coefficient field -- Briot-Bouquet's theorem -- Clairaut fields -- Poincarรฉ fields -- Analogs of addition formulae for elliptic functions -- Poincarรฉ fields generated by the constants -- Poincarรฉ fields of characteristic 0 -- Automorphisms of an elliptic field -- Differential automorphisms -- Differential automorphisms of a Poincarรฉ field -- Riccati fields of characteristic 0 -- Weierstrass points -- Clairaut fields of characteristic 0 -- Movable singularities in case of characteristic 0 -- Differential Lefschetz principle