We provide a detailed investigation of single-photon production processes i
n e(+)e(-) collisions with missing momenta carried by neutrinos or neutrali
nos. The transition amplitudes for both processes can be organized into a g
eneric simplified, factorized form; each neutral V+/-A vector current of mi
ssing energy carriers is factorized out and all the characteristics of the
reaction are solely included in the electron vector current. Firstly, we ap
ply the generic form to give a unified description of single-photon product
ion with a Dirac-type or Majorana-type neutrino pair and to confirm their i
dentical characteristics as suggested by the so-called practical Dirac-Majo
rana confusion theorem. Secondly, we show that the generic amplitude form i
s maintained with the anomalous P- and C-invariant WW gamma couplings in th
e neutrino-associated process and it enables us to easily understand the la
rge contributions of the anomalous WW gamma couplings at higher energies an
d, in particular, at points away from the Z-resonance peak. Finally, the ne
utralino-associated process, which receives modifications in both the left-
handed and right-handed electron currents due to the exchanges of the left-
handed and right-handed selectrons, can be differentiated from the neutrino
-associated ones through the left-right asymmetries and/or the circular pol
arization of the outgoing photon. [S0556-2821(99)07113-1].