elliptic theta function

The functions ϑ_s(u) | = | (H(u))/(H'(0)) ϑ_d(u) | = | (Θ(u + K))/(Θ(k)) ϑ_c(u) | = | (H(u))/(H(K)) ϑ_n(u) | = | (Θ(u))/(Θ(0)), where H(u) and Θ(u) are the Jacobi theta functions and K(u) is the complete elliptic integral of the first kind.