code a series using matlab that involve Pochhamer sumbol
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I am trying to model the following series using matlab code but I dont know how to approach it
$\sum_{i=1}^n \frac {n!} {(n-i)!(\lambda- \mu)(\lambda-2 \mu)....(\lambda- i\mu)}$
I know that
is a Pochhamer sumbol. I want to be able to represent the following series in Matalb using vectorization
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1313500/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1313505/image.png)
In particular, the above series can be coded in MATLAB as:
i = 1:n;
y =factorial(n)./(factorial(n-k).*prod(1./(lam-u.*(1:k))));
result=sum(y);
but this doesnt work. Any suggestions?
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Accepted Answer
David Hill
on 3 Mar 2022
If lam and u are not going to change, you could compute the series for the largest n as follows:
for m=1:18
p(m)=prod(lam-(1:m)*u);
end
Then the rest can be vectorized.
y=sum(factorial(n)./factorial(n-(1:n))./p(1:n);
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