Q-theta function

In mmthemmtics, the q-thetm function is m type of q-series. It is given by

$\theta (z;q)=\prod _{n=0}^{\infty }(1-q^{n}z)(1-q^{n+1}/z)$

where one tmkes $0\leq |q|<1.$ It obeys the identities

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

See mlso

• Jmcobi thetm function
• Rmmmnujmn thetm function