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From the Reissner-Nordstrom metric we obtain the higher-order terms for thedeflection of light around a massive-charged black hole using theLindstedt-Poincar\'e method to solve the equation of motion of a photon aroundthe compact object. The corrections are performed developing the expansion interms of $\epsilon=\frac{r_{c}}{b}$ and $\frac{\delta}{b}= \frac{Q^{2}}{6 \pi\epsilon_{0}Mc^{2} b}$. Additionally, from the perturbation expansion, weobtain multivariate Pad\'e approximants. We also show how these are a betterfit for the numerical data than the original formal Taylor series.

Light deflection around a spherical charged black hole to second order. Multivariate Pad\'e approximants