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Liouvillian function

In mathematics, a Liouvillian function is an elementary function or (recursively) the integral of a Liouvillian function. More explicitly, it is a… 
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3 relations
Algebraic equationCoefficientElementary function

Papers overview

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2014
2014
A family of quadratic polynomial differential systems with algebraic solutions of arbitrary high degree
We show that the algebraic curve $a_0(x)(y-r(x))+p_2(x)a'(x)=0,$ where $r(x)$ and $p_2(x)$ are polynomial of degree 1 and 2… 
2014
2014
Investigation of the problem of motion of a heavy dynamically symmetric body on a perfectly rough plane by the Kovacic algorithm
The paper deals with a classical problem in mechanics of nonholonomic systems - the problem of motion of a dynamically symmetric… 
2005
2005
Contribution to the qualitative study of planar differential systems
In this work, we consider rational ordinary differential equations dy/dx = Q(x, y)/P (x, y), with Q(x, y) and P (x, y) coprime… 
2005
2005
2 J un 2 00 5 Integrability of planar polynomial differential systems through linear differential equations . ∗
In this work, we consider rational ordinary differential equations dy/dx = Q(x, y)/P (x, y), with Q(x, y) and P (x, y) coprime…