How can I find a doble sum series?

I want to compute the series. Parameters a, b, c and d are known constants.

[Voss]

What about k?

You can use the built-in MATLAB function nchoosek() to get the binomial coefficients.

[kadir can erbas]

k is a known parameter.

[Matt J]

Shouldn't the upper summation limits be a and b rather than ∞?

[kadir can erbas]

Actually, a,b,c,d,k are not integers :(

Upper liimits may not be infinity.

[Matt J]

Upper liimits may not be infinity.

But in the mathematical expression in your post, the upper limits are infinity, so I suggest you edit the expression to avoid confusion.

Answer 1

[Matt J]

[a,b,c,d,k]=deal(4,5,1,2,0.5); %fake constants

I=(0:b)'; J=(0:a);

bicoeff=@(alpha,n) prod(alpha-(0:n-1))/factorial(n);

vi=arrayfun(@(n)bicoeff(b,n),I)';
vj=arrayfun(@(n)bicoeff(a,n),J)';

result= vi* (k.^(2*I)./(J+c+d*I))  *vj

result = 12.1491

[kadir can erbas]

Actually, a,b,c,d,k are not integers :(

Upper liimits may not be infinity.

[Matt J]

See the revised version of my answer.