Hi!
I have a sequence of difference polynomials (which I obtained by the method of finite differences) and I would like to find out if there is a recurrence relation between them.
The generating function of general difference polynomials is given by:
![e^{zt}=\sum_{n=0}^\infty p_n(z)
\left[\left(e^t-1\right)e^{\beta t}\right]^n.](http://upload.wikimedia.org/wikipedia/en/math/b/c/a/bca7633d1a65858d7e2edfa6adf02c00.png)
How would one write the above using maple and is there a way to find out in maple if there exists a recurrence relation between those polynomials?