MATLAB: How to represent the mathematical parameter in matlab

mathematicsMATLAB

Here,

    how to write the summation and its limits in matlab.

Is this a question about a symbolic computation, or a numerical one?

   x = randn(100,1);
   % sum of x for elements 10 to 30
   sum(x(20:30))

Symbolic

syms k
% sum of k from k =1 to k= 10
symsum(k,1,10)

k = 0:10;
x = 3;
A0 = sum((-1).^k.*x.^(2*k).*besselj(2*k,x))

If x is a vector, use

A0 = arrayfun(@(x)sum((-1).^k.*x.^(2*k).*besselj(2*k,x)),x)

sum(k*q,q,0,10) is going to be k * sum(q,q,0,10) which is going to be k * (10 * (10+1) / 2) which is going to be 45*k

integral(45*k, k, 0, 1) is going to be 45*k^2/2 evaluated at 1, which will be 45/2 .

Anyhow:

syms k q
fun = matlabFunction( symsum(k*q, q, 1, 10), 'vars', k);

and then integrate fun