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We extend recent work of Hatsuda on the computation of quasinormal modefrequencies via analytic continuation of bound state energies and Borel-Paderesummation of the Bender-Wu perturbation series to the case of charged fieldsin the background of Reissner-Nordstrom black holes. We compare the quasinormalmode frequencies obtained in this manner to calculations using Leaver's methodof continued fractions, and find good agreement for damped modes (DMs) withimaginary part remaining finite in the extremal limit. We also presentnumerical evidence that the frequencies of certain zero-damped modes (ZDMs)with imaginary part tending to zero in the extremal limit can be computed whenconstructing the Bender-Wu expansion about a peak of the potential inside theouter horizon of the black hole.

Quasinormal Modes of Charged Fields in Reissner-Nordstrom Backgrounds by Borel-Pade Summation of Bender-Wu Series