Andrusyak I. The growth of analytic functions with a given sequence of zeros.

We investigate the problem on minimal growth of an entire function with given zeros in comparison with the growth of counting function outside the exceptional set of finite logarithmic measure for arbitrary growth of counting function and on the sequence in the case of zero sets having integer-valued exponent of convergence. The problem on minimal growth of an entire function with a given sequence of zeros in the terms of integrated counting function is investigated. It is found the connection between the growth of zeros of an analytic function and the decrease of coefficients of its power expansion.