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. The Neville theta functions are implemented in the Wolfram Language as NevilleThetaC[z, m], NevilleThetaD[z, m], NevilleThetaN[z, m], and NevilleThetaS[z, m].
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