Landau damping, Stokes phenomenon and the weakly magnetized Maxwellian plasma

The dispersion relation for longitudinal oscillations in a weakly magnetized Maxwellian plasma is evaluated via a novel asymptotic method and reduces to the Bohm-Gross dispersion relation in the field-free limit. A proper treatment of the Stokes phenomenon reveals a factor of 2 missing in the standard result for Landau damping.