# How to solve this error in numerical integration?

I am trying to integrate a function numerically and I get an error that I do not understand. The error is : NIntegrate::slwcon : Numerical integration converging too slowly; suspect one of the following: singularity, value of the integration is 0, highly oscillatory integrand, or WorkingPrecision too small.

How can I solve this error??

Clear[k1, mu1, k2, mu2, sop, cth, alpha, ro, lamdap, lamdae];
k1 = 1; mu1 = 1;k2 = 1; mu2 = 1;lamdap = 1; lamdae = 10;ro = 10^(5/10);cth = 1; alpha = 2^(2*cth);
sop = ParallelSum[ (((2*(((mu2*(1 + k2))^(mu1 - mu2 + q - w))*
mu1*(1 + k1)^((mu1 + 1)/2)*
mu2*(1 + k2)^((mu2 + 1)/
2)*((2*mu1*Sqrt[k1*(1 + k1)])^(2*q + mu1 - 1))*((2*mu2*
Sqrt[k2*(1 + k2)])^(2*w + mu2 - 1))))/((k1^((mu1 - 1)/
2))*(k2^((mu2 - 1)/2))*Exp[k1*mu1]*Exp[k2*mu2]*
Gamma[q + mu1]*Gamma[w + mu2]*Factorial[q]*
Factorial[w]*2^(2*q + mu1 - 1)*2^(2*w + mu2 - 1))))*((lamdap*
lamdae)/((-lamdap*alpha*ro) + (lamdae*(alpha - 1)))) *(1/(2*
ro))*(1/ro^(mu1 + q -
1))*(((lamdap/(alpha - 1))^(-mu1 - q - 1)*
NIntegrate[
z^(-mu1 - q - 1)*
MeijerG[{{mu1 - mu2 + q - w + 1,
1}, {}}, {{1 + mu1 + q}, {}}, {z*ro*
lamdap/(mu1*mu2*(1 + k1)*(1 + k2)*(alpha - 1))}], {z, 1,

• NIntegrate::slwcon is not an error; it's a warning. Were there other messages indicating the approximation did not converge? – Michael E2 Mar 30 at 2:52
• Also, MaxRecursion -> 100 suggests to me that it might take a long time to evaluate the integral. If it takes more than a few seconds, it would be polite to indicate how long we might have to wait. – Michael E2 Mar 30 at 2:53