XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ jzeta()

double jzeta ( double  phi,
double  k 
)

Jacobi zeta function Z(φ, k)

Purpose
jzeta 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
Jacobi zeta function Z(φ, k).
Parameters
[in]phiArgument φ [rad].
[in]kArgument k. (|k| <= 1)
Error handling
  • If |k| > 1, domain error (EDOM) occurs.
  • Range error (ERANGE) may occur.
Reference
boost/math/special_functions