The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc

摘要

In this paper, we give the definition of iterated order to classify functions of fast growth in the unit disc, and investigate the growth of solutions of linear differential equations with analytic coefficients of iterated order in the unit disc. We obtain several results concerning the iterated order of solutions. (c) 2005 Elsevier Inc. All rights reserved.