Abelian integral

id: abelian-integral-244-9934930
title: Abelian integral
text: In mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form where R is an arbitrary rational function of the two variables x and w , which are related by the equation where F is an irreducible polynomial in w , whose coefficients φ j , j = 0 , 1 , … , n are rational functions of x . The value of an abelian integral depends not only on the integration limits, but also on the path along which the integral is taken;
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Abelian_integral
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date modified: 2022-03-15T21:37:12Z
main entity: {"identifier":"Q318761","url":"https://www.wikidata.org/entity/Q318761"}
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