# Non-tangential limits of slowly growing analytic functions

Barth, Karl F. and Rippon, Philip J. (2008). Non-tangential limits of slowly growing analytic functions. Computational Methods and Function Theory, 8(1) pp. 85–99.

## Abstract

We show that if is an analytic function in the unit disc, as , for every , and , where then has a finite non-tangential limit at . We also show that in this result it is not sufficient to assume that as , for some fixed .