Q-theta function

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

θ(z; q) = θ(q / z; q) = - z θ(1 / z; q).

[edit] See also

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