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Abelian Integral

An Abelian integral, are also called a hyperelliptic integral, is an integral of the form

int_0^x(dt)/(sqrt(R(t))),

where R(t) is a polynomial of degree >4.

See also

Abelian Function, Elliptic Integral

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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 Integral

Cite this as:

Weisstein, Eric W. "Abelian Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbelianIntegral.html

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