We study the relations between q-deformations and q-coherent states of
the single oscillator representations for su(q)(1,1) and su(q)(2) alg
ebras, the Dyson- and Rolstein-Primakoff-type in terms of the Biedenha
rn, Macfarlane, and anyonic oscillators. We also discuss the related F
ock-Bargmann q-derivative and integration.