XLPack 7.0
XLPack Numerical Library (Excel Worksheet Functions) Reference Manual
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◆ WJtheta1()

Function WJtheta1 ( X As  Double,
Q As  Double 
)

Jacobi theta function θ1(x, q)

Purpose
This function computes the Jacobi theta function θ1.
θ1(x, q) = 2Σ(-1)^n q^(n + 1/2) sin((2n + 1)x) (Σ for n = 0 to ∞)
Returns
Jacobi theta function θ1(x, q).
Parameters
[in]XArgument x.
[in]QArgument q. (0 < Q < 1)
Reference
boost/math/special_functions