XLPack 7.0
XLPack Numerical Library (Excel VBA) Reference Manual
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◆ Jtheta4m1()

Function Jtheta4m1 ( X As  Double,
Q As  Double,
Optional Info As  Long 
)

Jacobi theta function θ4(x, q) - 1

Purpose
Computes the Jacobi theta function θ4 - 1.
θ4(x, q) = 1 + 2Σ(-1)^n q^(n^2) cos(2nx) (Σ for n = 1 to ∞)
Returns
Double
Jacobi theta function θ4(x, q) - 1.
Parameters
[in]XArgument x.
[in]QArgument q. (0 < Q < 1)
[out]Info(Optional)
= 0: Successful exit.
= -2: The argument Q had an illegal value. (Q <= 0 or Q >= 1)
= 1: Floating point range error.
Reference
boost/math/special_functions