Ornstein-Zernike Relation for a Fluid Mixture

Baxter has shown that, when the direct correlation function vanishes beyond some range, the Ornstein-Zernike relation for a single-component fluid can be transformed into a form involving only the radial distribution function within the range. Baxter's form is generalized to the case of a multicomponent fluid mixture. The derivation is given without using the assumption that the direct correlation functions are of finite range.