On the distribution of zeros of analytic functions in angles in C \ 0\

In this article some results on the value distribution theory of analytic functions defined in angles of C C , due mainly to B. Ja. Levin and A. Pfluger, will be extended to the more general situation where the functions are defined in angles of C\ 0\ C \ { 0 } . More precisely, angles S ( θ₁,θ₂) S ( θ 1 , θ 2 ) with vertex at the origin will be considered and where a singularity at zero is allowed. An special class of these functions are those of completely regular growth for which it is proved a basic result which yields an expression of the density of its zeros in terms of the indicator function.