Regular Growth of Various Characteristics of Entire Functions of Order Zero

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 $L^{p}[0,2\pi]$-metric, $p\ge1$.