Trying to code a tricky double summation

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So I'm trying to write code that calculates the following:
I have two functions of the same two variables, call them D(x,y) and T(x,y)
I'm trying to write a function that accepts inputs x,y,z and outputs:
So, there are two summations, the outer one takes the sum from i=0 up to min(x,y), and the inner sum takes the summation of terms from k=0 up to x-i
The inner sum isn't as complicated as it looks, it has a (-1)^k at the start and then just multiples the functions D(a,b) and T(a,b)^(z/2) where a and b depend on both where you are in the indexing of your outer summation and inner summation
This is a much harder proram than I have written before, so tips, insights, general advice, and even completed code are welcome!! Thanks for your time

Accepted Answer

Ameer Hamza
Ameer Hamza on 24 Sep 2020
Something like this should work
s = 0;
for i=0:min(x,y)
for k=0:x-1
s = s + (-1)^k * D(2*x-2*k-2*i, 2*y+2-2*i) * T(2*x-2*k-2*i, 2*y+2-2*i)^(z/2)
end
end
  5 Comments
Ameer Hamza
Ameer Hamza on 24 Sep 2020
To make a function handle type this
S1 = @Sum1
S1(3,2,1)

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