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

Function WJzeta ( Phi As  Double,
K As  Double 
)

Jacobi zeta function Z(φ, k)

Purpose
This function computes the Jacobi zeta function Z(φ, k).
Jacobi zeta function is defined by using elliptic integrals as follows.
Z(φ, k) = E(φ, k) - E(k) * F(φ, k) / K(k)
The function is often defined as Z(φ, m) with m = k^2.
Returns
Double
Jacobi zeta function Z(φ, k).
Parameters
[in]PhiArgument φ [rad].
[in]KArgument k. (|K| <= 1)
Reference
boost/math/special_functions