Definition:Elliptic Modulus

Definition

Let $\EE$ be one of Legendre's standard elliptic integrals in the form:

$\ds \int \limits_0^x \map F {\sqrt {1 - k^2 v^2} } \rd v$

The coefficient $k$ is known as the (elliptic) modulus of $\EE$.

Also see

• Results about elliptic integrals can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): modulus (plural moduli)${}$: 4.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): modulus (plural moduli)${}$: 4.