  We obtained retarded Green's functions for massless scalar fields in the
background of near-extreme, near-horizon rotating charged black hole of
five-dimensional minimal gauged supergravity in Phys. Rev. D84, 044018 (2011).
For general nonextreme black holes, we also derived the radial part of the
massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and
showed that it is a general Heun's equation with a regular singularity at each
horizon $u_k$ ($k=1,2,3$) and at infinity. We derived explicitly that the
residuum of a pole at each $u_k$ is associated with the surface gravity there.
In this addendum, probing regular singularities at each $u_k$ we complete the
derivation of the full radial equation with nonzero azimuthal-angle
eigenvalues. The residua now include modifications by the angular velocities at
respective horizons. This result completes the analysis of the wave equation
for the massless Klein-Gordon equation for the general rotating charged black
hole of five-dimensional minimal gauged supergravity.
