Function handle of a sum

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Bernoulli Lizard
Bernoulli Lizard on 15 Mar 2013
Edited: Matt J on 24 Apr 2015
How can I define a function that involves a summation?
for example, a function f = @(x) e^(-n*x), where the function is a sum of terms over some range of n?
Thanks
  1 Comment
Bernoulli Lizard
Bernoulli Lizard on 15 Mar 2013
Actually it's slightly more complicated than that. I need the function to be of another function of n, so something of the form
f = @(x) exp( -g(n) * x ), summed over some range of n.

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Accepted Answer

Matt J
Matt J on 15 Mar 2013
Edited: Matt J on 15 Mar 2013
Assuming g(n) has vectored input/output, just do
f=@(x) sum( exp( -g(1:n) .* x )); %sum over 1...n
with obvious modifications for different ranges of n.
  2 Comments
Matt J
Matt J on 24 Apr 2015
Edited: Matt J on 24 Apr 2015
g = [1,2]
f = @(x) sum( exp( -g(1:2) .* x));
F= @(X) arrayfun(f,X);
integral(F,0,1);
or
integral(f,0,1,'ArrayValued',1);

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