Q-theta function

From Wikipedia, the free encyclopedia

In mathematics, the q-theta function is a type of q-series. It is given by

\theta(z;q)=\prod_{n=0}^\infty (1-q^nz)(1-q^{n+1}/z)

where one takes 0\le|q|<1. It obeys the identities

\theta(z;q)=\theta(q/z;q)=-z\theta(1/z;q).\,

[edit] See also

 This mathematics-related article is a stub. You can help Wikipedia by expanding it.
Languages