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It is known that holomorphic Poisson structures are closely related totheories of generalized K\"{a}hler geometry and bi-Hermitian structures. Inthis article, we introduce quantization of holomorphic Poisson structures whichare closely related to generalized K\"{a}hler structures /bi-Hermitianstructures. By resulting noncommutative product $\star$ obtained viaquantization, we also demonstrate computations with respect to concreteexamples.

Quantization of Holomorphic Poisson structure --related to Generalized K\"{a}hler structure--