An Abelian integral is an integral of an algebraic function. The special case
 |
where 
is a polynomial of degree 
, is a hyperelliptic integral.
Abelian Integral
See also
Abel's Addition Theorem, Abel's Curve Theorem, Abelian Function, Elliptic IntegralExplore with Wolfram|Alpha
References
Siegel, C. L. Topics in Complex Function Theory, Vol. 2: Automorphic Functions and Abelian Integrals. New York: Wiley, 1988.Referenced on Wolfram|Alpha
Abelian IntegralCite this as:
Weisstein, Eric W. "Abelian Integral." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AbelianIntegral.html