- In
integral calculus, an
elliptic integral is one of a
number of
related functions defined as the
value of
certain integrals,
which were
first studied...
- to
proceed to
calculate the
elliptic integral.
Given Eq. 3 and the
Legendre polynomial solution for the
elliptic integral: K ( k ) = π 2 ∑ n = 0 ∞ ( (...
-
using the
Arctangent Integral, also
called Inverse Tangent Integral. The same
procedure also
works for the
Complete Elliptic Integral of the
second kind...
- In mathematics, the
Jacobi elliptic functions are a set of
basic elliptic functions. They are
found in the
description of the
motion of a pendulum, as...
-
named elliptic functions because they come from
elliptic integrals.
Those integrals are in turn
named elliptic because they
first were
encountered for the...
- to
integrals that
generalise the
elliptic integrals to all
curves over the
complex numbers. They
include for
example the
hyperelliptic integrals of type...
-
which has
genus zero: see
elliptic integral for the
origin of the term. However,
there is a
natural representation of real
elliptic curves with
shape invariant...
- Complete
Elliptic integral of τ 1 X 1 ′ = Complete
Elliptic integral of 1 − τ 1 2 X 2 = Complete
Elliptic integral of τ 2 X 2 ′ = Complete
Elliptic integral...
- quickly, it
provides an
efficient way to
compute elliptic integrals,
which are used, for example, in
elliptic filter design. The arithmetic–geometric mean...
- S2CID 125063457. Prasolov, V.; Solovyev, Y. (1997).
Elliptic Functions and
Elliptic Integrals.
American Mathematical Society. p. 58—60. ISBN 0-8218-0587-8...
