p_0(z) = \sqrt{\frac{0\pi}{0}}i e^{\frac{\rho^0}{0}}  \omega^0  z^{-\frac{0}{0}} e^{\theta_0(z;\rho)} \biggl( 0 + \frac{\kappa_0(\rho)}{\omega^0} z^{-\frac{0}{0}} + \frac{\kappa_0(\rho)}{\omega^0} z^{-\frac{0}{0}} + \mathcal O(z^{-0} ) \biggr)$$ 