Elliptic Gamma Function

All Updates

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 <math>p=0</math>, it essentially reduces to the infinite q-Pochhammer symbol:

## References

Read More

- <math>Gamma (z;p,q) = prod_^infty prod_^infty

It obeys several identities:

- <math>Gamma(z;p,q)=frac,</math>

- <math>Gamma(pz;p,q)=theta (z;q) Gamma (z; p,q),</math>

and

- <math>Gamma(qz;p,q)=theta (z;p) Gamma (z; p,q),,</math>

where θ is the q-theta function.

When <math>p=0</math>, it essentially reduces to the infinite q-Pochhammer symbol:

- <math>Gamma(z;0,q)=frac.</math>

Read More

No messages found

about this page

for companies, colleges, celebrities or anything you like.Get updates on MyPage.

Create a new Page