XLPack 6.1
Python API Reference Manual
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◆ celli2()

def celli2 ( )

Complete elliptic integral of the second kind E(k)

Purpose
celli2 computes the Legendre form of complete elliptic integral of the second kind E(k).
E(k) = E(π/2, k)
where E(φ, k) is the incomplete elliptic integral of the second kind defined as follows.
E(φ, k) = ∫ sqrt(1 - k^2(sin(t))^2) dt [0, φ]
Returns
float
Complete elliptic integral of the second kind E(k).
Parameters
[in]kArgument k. (-1 <= k <= 1)
Error handling
  • If |k| > 1, domain error (EDOM) occurs.
  • Range error (ERANGE) may occur.
Reference
boost/math/special_functions