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Mathematics Mathematica

How to obtain the power series of finite power sum?

Posted 10 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

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Posted 10 years ago

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

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