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Question: recurrence relation of gen. diff. polynomials

Question:recurrence relation of gen. diff. polynomials

jaanus 0
January 25 2012
0

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.

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?
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