Q-theta function

In mathematics, the q-theta function (or modified Jacobi theta function) is a type of q-series which is used to define elliptic hypergeometric series. It is given by

where one takes 0&nbsp;&le;&nbsp;|q|&nbsp;<&nbsp;1. It obeys the identities

It may also be expressed as:

where is the q-Pochhammer symbol.

See also

• elliptic hypergeometric series
• Jacobi theta function
• Ramanujan theta function

References