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.