Elliptic gamma function

In mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely related to a function studied by , and can be expressed in terms of the triple gamma function. It is given by It obeys several identities: and where θ is the q-theta function. When , it essentially reduces to the infinite q-Pochhammer symbol:

Elliptic gamma function

In mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely related to a function studied by , and can be expressed in terms of the triple gamma function. It is given by It obeys several identities: and where θ is the q-theta function. When , it essentially reduces to the infinite q-Pochhammer symbol: