Q-theta function
Encyclopedia
In mathematics
, the q-theta function is a type of q-series. It is given by
where one takes 0 ≤ |q| < 1. It obeys the identities
It may also be expressed as:
where
is the q-Pochhammer symbol.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the q-theta function is a type of q-series. It is given by
where one takes 0 ≤ |q| < 1. It obeys the identities
It may also be expressed as:
where
is the q-Pochhammer symbol.