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How to solve it using MATLAB ..

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Im not sure about the equation, but you can do the Symbolic, a few example

syms H w s n

tmp = (1+0.25*1e-3*n*s);
sigma = symsum(tmp,n,0,39);
H = w/(s^2+w^2)*sigma;

H_simple1 = simple(H); H_simple1
H_simple2 = simplify(H); H_simple2

you can use one of simple or simplify, wich one best for the solution, ..
 

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