Remarks on a result about hypercyclic non-convolution operators

In this paper we correct a proof by Aron and Markose in [R. Aron, D. Markose, On universal functions, J. Korean Math. Soc. 41 (2004) 65–76] for the hypercyclicity of the operator T :H(C)→H(C) given by T (f )(z) = f (λz + b), |λ| 1, in the case b = 0.  2004 Elsevier Inc. All rights reserved