The Neville theta functions may be expressed in terms of the Jacobi theta functions :\theta_s(z|\tau)=\theta_3^2(0|\tau)\theta_1(z'|\tau)/\theta'_1(0|\tau) :\theta_c(z|\tau)=\theta_2(z'|\tau)/\theta_2(0|\tau) :\theta_n(z|\tau)=\theta_4(z'|\tau)/\theta_4(0|\tau) :\theta_d(z|\tau)=\theta_3(z'|\tau)/\theta_3(0|\tau) where z'=z/\theta_3^2(0|\tau). The Neville theta functions are related to the
Jacobi elliptic functions. If pq(u,m) is a Jacobi elliptic function (p and q are one of s,c,n,d), then :\operatorname{pq}(u,m)=\frac{\theta_p(u,m)}{\theta_q(u,m)}. ==Examples==