THE COUNTS AND THE DISTRIBUTION OF SPECTRAL INDEXES OF EXTRAGALACTIC RADIO-SOURCES

Assuming that at 408 MHz the counts of radio sources may be represented by n(S) = KS(-a-ln Sb); the dependence <<spectral index vs flux density>> is absent and the shape of source spectrum may be approximated by S approximately nu(-alpha) for all the observed range of frequencies, analytical solutions for n(S) and P(alpha, S) at any frequency been obtained. Results of the calculations for n(S) and P(alpha, S) are in a good agreement with the observed data in the range 25-100 000 MHz. It is shown that the counts vs frequency and spectral index vs density dependences are not the result of the cosmological evolution of the radio sources.