Growth of entire functions with given zeros and representation of meromorphic functions

Let A = {lambda(n)} be a sequence of points on the complex plane, and let A(r) be the number of points of the sequence A in the disk {\z\ < r }. We study the following problem in terms of the counting function A(r): what is the minimal possible growth of the characteristic M-f (r) = max{\f (z)\: \z\ = r} in the class of all entire functions f vanishing on A? Let F be a meromorphic function in C. In terms of the Nevanlinna characteristic TF(r) of the function F, we estimate the minimal possible growth of the characteristics Mg(r) and M-h(r) in the class of all pairs of entire functions g and h such that F = g/h. We present analogs of the obtained results for holomorphic and meromorphic functions in the unit disk in the complex plane.