# Tagged Questions

For questions about $\theta$ functions (special functions of several complex variables).

352 views

### Ramanujan theta function and its continued fraction

I believe Ramanujan would have loved this kind of identity. After deriving the identity, I wanted to share it with the mathematical community. If it's well known, please inform me and give me some ...
163 views

1k views

512 views

62 views

### proof of jacobi triple product using ramanujan's notation

Inspired by this proof in mathworld,I rewrote the proof in terms of ramanujan theta function Define the function $$M(c)=\prod_{n = 1}^{\infty}(1 +a^{n}b^{n-1}c)(1+\frac{a^{n-1}b^{n}}{c})\tag1$$ then ...
The Jacobi triple product identity is: $$\prod\limits_{n=1}^{ \infty }(1-q^{2n})(1+zq^{2n-1})(1+z^{-1}q^{2n-1})=\sum\limits_{n = - \infty }^ \infty z^n q^{n^2}$$ I would like to extend the idea for ...
### What is the limit $\lim_{q\to 1} \vartheta_{2}^{2}(q)(1-q)$
If $\vartheta_{2}(q)$ is jacobi's theta function, what is the limit $$\lim_{q\to 1} \vartheta_{2}^{2}(q)(1-q)$$ for the nome $q$. I would like to know whether the limit exists or not. If it does, ...