Contents

Previous

Next

Subchapters

Current Chapters-> erf ierf erfc beta betai gamma gammln gammainc besselj bessely besseli besselk elliprf elliprd elliprj ellipf ellipe ellipi kolsmi psi lentz

Parent Chapters-> Omatrix6 special ellipe

Search Tools-> contents reference index search

Legendre's Elliptic Integrals of the Second Kind

Syntax	ellipe(phi, k)
See Also	elliprd , ellipf , ellipi

Description
Computes an element-by-element approximation of the elliptic integral defined by
                 phi
                 /        2   2     1/2 
     E(phi, k) = | [ 1 - k sin (x) ]   dx
                 /
                 0
where the arguments phi and k are real or double-precision matrices. If both of these arguments is not a scalar, they must have the same dimension. For each (i, j),

     | phi(i, j) | < pi/2  and  | k(i, j) | < 1

Example
                 phi
                 /   
     E(phi, 0) = | dx = phi
                 /
                 0
If you enter
     phi = rand(2, 3)
     print ellipe(phi, 0.)
     print phi
O-Matrix will print two matrices with the same values.