Method on @sym: ellipticCPi (nu, m) ¶

Complementary complete elliptic integral of the third kind.

This is the complete elliptic integral (of the third kind) with the complementary parameter 1 - m:

syms nu m
ellipticCPi (nu, m)
  ⇒ ans = (sym) Π(ν│1 - m)

Examples:

ellipticCPi (nu, sym(1)/4)
  ⇒ ans = (sym) Π(ν│3/4)

ellipticCPi (sym(1)/2, sym(1)/4)
  ⇒ ans = (sym) Π(1/2│3/4)
vpa (ans)
  ⇒ (sym) 3.2347734712494648531580124982005

There are other conventions for the inputs of elliptic integrals, see ‘@sym/ellipticF’.

See also: @sym/ellipticPi.

Package: symbolic