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Elliptic Integrals

In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integral. Their name originates from their originally arising in connection with the problem of finding the arc length of an ellipse.

These functions often are used in cryptography to encode and decode messages.

See also Chapter 19 Elliptic Integrals in the Digital Library of Mathematical Functions.

• EllipticE — elliptic integral of the second kind E(ϕ|m)
• EllipticF — elliptic integral F(ϕ|m)
• EllipticK — elliptic integral of the first kind K(m)
• EllipticPi — elliptic integral of the third kind P(n|m)