Abelian integral

In mathematics, an abelian integral, named after the Norwegian mathematician Niels Abel, is an integral in the complex plane of the form

where $R\left(x,w\right)$ is an arbitrary rational function of the two variables $x$ and $w$ . These variables are related by the equation

where $F\left(x,w\right)$ is an irreducible polynomial in $w$ ,

单词	Abelian integral
释义	Abelian integral 英语百科 Abelian integral In mathematics, an abelian integral, named after the Norwegian mathematician Niels Abel, is an integral in the complex plane of the form where $R\left(x,w\right)$ is an arbitrary rational function of the two variables $x$ and $w$ . These variables are related by the equation where $F\left(x,w\right)$ is an irreducible polynomial in $w$ ,
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