Differential Galois Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1992 English Publisher:Springer Berlin Heidelberg

Authors: Frits Beukers;

doi: 10.1007/978-3-662-02838-4_8

Differential Galois Theory

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Abstract

Perhaps the easiest description of differential Galois theory is that it is about algebraic dependence relations between solutions of linear differential equations. To clarify this statement, let us consider three examples. First consider the differential equation $$z(1-z){y}''+(\frac{1}{2}-\frac{7}{6}z){y}'+\frac{11}{3600}y = 0$$ (1.1)

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