In this paper we study two-sided (left and right) axially symmetric solutions
of a generalized Cauchy-Riemann operator. We present three methods to obtain
special solutions: via the Cauchy-Kowalevski extension theorem, via plane wave
integrals and Funk-Hecke's formula and via primitivation. Each of these methods
is effective enough to generate all the polynomial solutions.Comment: 17 pages, accepted for publication in Moscow Mathematical Journa
