  The unified $ (p,q; \alpha,\gamma, l)$-deformation of a number of well-known
deformed oscillator algebras is introduced.The deformation is constructed by
imputing new free parameters into the structure functions and by generalizing
the defining relations of these algebras. The generalized Jordan-Schwinger and
Holstein-Primakoff realizations of the $U_{pq}^{\alpha \gamma l}(su(2))$
algebra by the generalized $ (p,q; \alpha,\gamma, l)$-deformed operators are
found.
  The generalized $ (p,q; \alpha,\gamma, l)$-deformation of the two-dimensional
conformal field theory is established. By introducing the $ (p,q;
\alpha,\gamma, l)$-operator product expansion (OPE) between the energy momentum
tensor and primary fields, we obtain the $ (p,q; \alpha,\gamma, l)$-deformed
centerless Virasoro algebra. The two-point correlation function of the primary
generalized $ (p,q; \alpha,\gamma, l)$-deformed fields is calculated.
