@Carl Love  hi Carl works fine it is posible to get expresiones in explicit form using the formula

gamma+Psi(0, z) = harmonic(z-1)  sorry my english languaje it is not very properly but i try

that i realy want is intent to get the result 

(∑)(harmonic(k))/(k^(3))=residue(Psi(-z)+gamma)^(2)(1)/(k^(3)),k) but the result normally maple simplify and you could see the result in properly way to see want you get XE the result is 

(∑)(harmonic(k))/(k^(3))+sum derivate 1/K^3

sorry for the formulas i try to use the botton 4/3 Pi of above to paste formula from maple but do not work for me ( as usualy happen to me ) maple do not work with latex of at last i do not know how to use.

thanks any way

@Carl Love i try to use yout command

map2(Cache:-RemovePermanent, Psi, [[1], [2]]); `Psi/constant` := `Psi/constant`[1], 0, `Psi/constant`[3];
print(`output redirected...`); # input placeholder
[]
residue((Psi(-x)+gamma)^2*h(x), x = 2);

D(h)(2) + 3 h(2)
residue((Psi(x)+gamma)^2*Gamma(x), x = -1);

-2 Gamma(-1) + D(Gamma)(-1)
residue(Psi(x)*GAMMA(x)/x, x = -2);
1 1 1
- + - Psi(1) + - gamma
8 4 4

it is great but only works in the third example thank any way

@Kitonum  thanks

@acer thanks acer