XLPack 6.1
Excel Worksheet Function Numerical Library Reference Manual
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◆ WElli2()

Function WElli2 ( Phi As  Double,
K As  Double 
)

Incomplete elliptic integral of the second kind E(φ, k)

Purpose
WElli2 computes the Legendre form of incomplete elliptic integral of the second kind E(φ, k).
E(φ, k) = ∫ sqrt(1 - k^2(sin(t))^2) dt [0, φ]
Returns
Incomplete elliptic integral of the second kind E(φ, k).
Parameters
[in]PhiArgument φ [rad].
[in]KArgument k (K^2*sin(Phi)^2 <= 1 (|K| <= 1 if |Phi| > π/2))
Reference
boost/math/special_functions