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How to obtain the power series of finite power sum?

Posted 11 years ago
Is there anybody can help me to get an expansion for the following finite Power Sum?
(Sum[(\[Beta]*x)^i/i!, {i, 0, m - 1}])^n
As I know the infinite power sum can be expressed as follows


but what about the case of finite power sum? 

Thanks for your support
POSTED BY: John G
2 Replies
I get the following result using Mathematica 9:

In[1]:= (Sum[(\[Beta]*x)^i/i!, {i, 0, m - 1}])^n


Out[1]= ((E^(x \[Beta]) Gamma[m, x \[Beta]])/Gamma[m])^n

S M Blinder
POSTED BY: S M Blinder
Posted 11 years ago
Thanks for your reply, but I need to get a result in summation form, and Not in Gamma function. 
POSTED BY: John G
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