Analysis of the clustering of 2dFGRS galaxies using the method of a modified correlation gamma function

The apparatus of a correlation gamma function is used to analyze a sample of 2dFGRS galaxies. We suggest a modified gamma-function algorithm with nonintersecting working spheres, which ensures that the counts are independent at each step. The method of nonintersecting spheres has revealed a change in the regime of clustering (a break of the gamma function) on a scale of 10–16h^?1 Mpc (H₀ = 65 km s^?1 Mpc^?1). The standard method yields a scale of 30h^?1 Mpc. An artificial distribution is used as an example to show that, in some cases, the modified algorithm is more responsive to a mixture of distributions with various properties than the standard method.