Message Boards Message Boards

GROUPS:

How to obtain the power series of finite power sum?

Posted 10 years ago
4687 Views
|
2 Replies
|
0 Total Likes
|
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 10 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
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract