XLPack 7.0
XLPack Numerical Library (Excel Worksheet Functions) Reference Manual
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◆ WCelli1()

Function WCelli1 ( K As  Double)

Complete elliptic integral of the first kind K(k)

Purpose
WCelli1 computes the Legendre form of complete elliptic integral of the first kind K(k).
K(k) = F(π/2, k)
where F(φ, k) is the incomplete elliptic integral of the first kind defined as follows:
F(φ, k) = ∫ 1/sqrt(1 - k^2(sin(t))^2) dt [0, φ]
Returns
Complete elliptic integral of the first kind K(k).
Parameters
[in]KArgument k. (-1 < K < 1)
Reference
boost/math/special_functions