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First Order Algebraic Differential Equations: A Differential Algebraic Approach

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1980
ISBN
9783540099970, 9783540393115
Language
english
Format
PDF
Filesize
851 kB (871426 bytes)
Series
Lecture Notes in Mathematics 804
Edition
1
Pages
111\117
Time added
2020-08-30 06:11:09

Description

Differential algebraic function field of one variable....Pages 1-6 Movable singularities....Pages 7-10 Fuchs' theorem....Pages 11-16 Extensions of the coefficient field....Pages 17-21 Briot-Bouquet's theorem....Pages 22-26 Clairaut fields....Pages 27-32 Poincaré fields....Pages 33-41 Analogs of addition formulae for elliptic functions....Pages 42-46 Poincaré fields generated by the constants....Pages 47-51 Poincaré fields of characteristic 0....Pages 52-55 Automorphisms of an elliptic field....Pages 56-68 Differential automorphisms....Pages 69-73 Differential automorphisms of a Poincaré field....Pages 74-77 Riccati fields of characteristic 0....Pages 78-82 Weierstrass points....Pages 83-90 Clairaut fields of characteristic 0....Pages 91-94 Movable singularities in case of characteristic 0....Pages 95-102 Differential Lefschetz principle....Pages 103-109

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