The Jacobi theta function is defined as:
$$\theta(x)=\sum_{n=-\infty}^{\infty}\exp(-\pi n^2 x)\text{ }, x>0$$
On wikipedia.org, we can find close-form expressions for the values of $\theta(k)$,$k=1,2,3,\cdots$.
I am looking for similar formulas for the values of $\frac{d\theta}{d x}(k)$ and $\frac{d^2\theta}{d x^2}(k)$, $k=1,2,3,\cdots$.
This problem showed up when I was looking for approximations to Riemann $\Xi(z)$ function.
Thanks- mike