jcd jcn jcs jdc jdn jds jelli jnc jnd jns jsc jsd jsn jtheta1 jtheta1t jtheta2 jtheta2t jtheta3 jtheta3m1 jtheta3m1t jtheta3t jtheta4 jtheta4m1 jtheta4m1t jtheta4t

jtheta4m1t() double jtheta4m1t ( double  x, double  tau  ) Jacobi theta function θ4(x, τ) - 1 Purpose This function computes the Jacobi theta function θ4 - 1. θ4(x, τ) = 2Σ(-1)^n exp(iπτ)^(n + 1/2) sin((2n + 1)x) (Σ for n = 0 to ∞) Returns Jacobi theta function θ4(x, τ) - 1. Parameters [in] x Argument x. [in] tau Assuming that the argument τ is a purely imaginary number, it is expressed as a real number (τ = i*tau). This is equivalent to setting q = exp(iπτ) in θ4(x, q). Error handling Range error (ERANGE) may be reported. Reference boost/math/special_functions