Cosmological Redshift Distortion of Correlation Functions as a Probe of the Density Parameter and the Cosmological Constant

We propose cosmological redshift-space distortion of correlation functions of galaxies and quasars as a useful probe of both the density parameter \₀ and the cosmological constant \₀. In particular, we show that redshift-space distortion of quasar correlation functions at z\2 can potentially set an important constraint on the value of \₀. This is in contrast to the popular analysis of galaxy correlation functions in redshift space which basically determines \₀^0. 6/b, where b is the bias parameter, but is insensitive to \₀. For specific applications, we present redshift-space distortion of correlation functions both in cold dark matter models and in power-law correlation function models, and discuss the extent to which one can discriminate between the different \₀ models.