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How to put this in mathmetica language

Posted 9 years ago

A part of sum of generalized gamma distribution

? is Gamma function, ki is natural number??k1+...+kn=j means arbitrary combination of ki add up and equal to j. How to program this in mathmetica language? Thank you!

POSTED BY: Axes Lee
2 Replies

It is not clear to me what the relation is between n and j, and whether k1,k2 etc can be zero. However you can get started by looking at how this is built:

g[j_, d_, n_] := 
 Plus @@ Table[
   Times @@ Map[Gamma[d + 2 #]/(#! Gamma[d/2]) &, k], {k, 
    IntegerPartitions[j, {n}]}]

Look up the key ingredient, which is IntegerPartitions

POSTED BY: Gianluca Gorni
Posted 9 years ago

Thank you very much for your answer, Let me think about it based on your solution. And k1, k2...kn can be zero, there is no relation between n and j, but n can be set to 3 if needed.

POSTED BY: Axes Lee
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