A equation satisfies the weak (p,q) condition, where q indicates its solutions' multiplicity of the pole at $z=0$ is q and p indicates p distinct Laurent singular part $\sum\limits_{k=-q}^{-1}c_k z^k$.
To find the weak $(p,q)$ condition of the equation, we substitute the Laurent series $ w(z)=\sum\limits_{k=-q}^{\infty}c_k z^k,q>0,c_{-q}\neq 0 $ into the equation.
Let us set the equation as $w^{(4)} + w'' + \frac{1}{2}w^2 - cw-b =0$. Its weak $(p,q)$ condition is (1,4).
I want to konw how to canculate the weak (p,q) condition so that I can use software such as mathematica to get the weak (p,q) condition.
