A theoretical formulation for the two-point correlation function on a light cone is developed in red-shift space. On the basis of the previous work by Yamamoto & Suto, in which a theoretical formula for the two-point correlation function on a light cone has been developed in real space, we extend it to the formula in redshift space by taking the peculiar velocity of the sources into account. A simple expression for the two-point correlation function is derived. We briefly discuss QSO correlation functions on a light cone adopting a simple model of the sources.
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