Regular growth of various characteristics of entire functions of order zero

详细

We study the relationship between the strongly regular growth of an entire function f of order zero, the existence of the angular density of its zeros, the behavior of the Fourier coefficients of the logarithm of f, and the regular growth of the logarithm of the modulus and the argument of f in the L^p[0, 2π]-metric, p ≥ 1.