XLPack 6.1
Excel Worksheet Function Numerical Library Reference Manual
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◆ WCelli3()

Function WCelli3 ( N As  Double,
K As  Double 
)

Complete elliptic integral of the third kind P(n, k)

Purpose
WCelli3 computes the Legendre form of complete elliptic integral of the third kind P(n, k).
P(n, k) = P(π/2, n, k)
where P(φ, n, k) is the incomplete elliptic integral of the third kind defined as follows:
P(φ, n, k) = ∫ 1/((1 - n(sin(t))^2)sqrt(1 - k^2(sin(t))^2)) dt [0, φ]
Returns
Complete elliptic integral of the third kind P(n, k).
Parameters
[in]NArgument n. (N < 1)
[in]KArgument k. (-1 < K < 1)
Reference
boost/math/special_functions