In my research I obtained as result for a real function the following expression:
$$u(r) = H_0\left((-1)^{1/3} \, r \right) - Y_0\left((-1)^{1/3} \, r \right) + H_0\left(- (-1)^{2/3}\, r \right)- Y_0\left(- (-1)^{2/3}\, r \right)- H_0\left(r \right)- Y_0\left(r \right) $$
Where $H_0$ is the zeroth order StruveH function and $ Y_0$ is the zeroth order Bessel function of the second kind, and $r$ a real number greater than zero. I was quite happy about my result so i decided to plot it with mathematica and the result is the following:
The solution starts to behave strangely for large $r$, but i am not sure if this is just Mathematica not properly plotting, or if actually the solution is diverging at large $r$. Is there a way of evaluate such asymptotic behaviour? do you have any reference for that?