On the mean values of an analytic function.
Volume 57 / 1992
Annales Polonici Mathematici 57 (1992), 149-155
DOI: 10.4064/ap-57-2-149-155
Abstract
Let f(z), $z = re^{iθ}$, be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values $I_δ(r)$ and the iterated mean values $N_{δ,k}(r)$ of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).
