  We study analytically the fundamental resonances of near-extremal, slowly
rotating Kerr-Newman black holes. We find a simple analytic expression for
these black-hole quasinormal frequencies in terms of the black-hole physical
parameters: omega=m Omega-2i pi T(l+1+n), where T and Omega are the temperature
and angular velocity of the black hole. The mode parameters l and m are the
spheroidal harmonic index and the azimuthal harmonic index of a co-rotating
mode, respectively. This analytical formula is valid in the regime Im omega <<
Re omega <<1/M, where M is the black-hole mass.
