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Generalized $f$-coherent state approach in deformation quantization frameworkis investigated by using a $\ast $-eigenvalue equation. For this purpose weintroduce a new Moyal star product called $f$-star product, so that by usingthis ${\ast}_{f}$-eigenvalue equation one can obtain exactly the spectrum of ageneral Hamiltonian of a deformed system.

Correspondence Between Classical and Quantum Theory by $f$-Deformed Coherent State