  We study the relations between $q$-deformations and $q$-coherent states of
the single oscillator representations for $su_q(1,1)$ and $su_q(2)$ algebras;
Dyson and Holstein-Primakoff type in terms of Biedenharn, Macfarlane and
anyonic oscilators. We also discuss the related Fock-Bargmann $q$-derivative
and integration.
