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Definition of Abelian integral in English:

Abelian integral

noun

Mathematics

  • An integral of the form ∫ F (x, y) dx, where F (x, y) is a rational function, and where y is an algebraic function of x defined by a polynomial equation p (x, y) = 0.

Origin

Mid 19th century; earliest use found in Reports of the British Association for the Advancement of Science.