The growth of generalized iterated entire functions – I

Abstract

In this paper, we study the generalized iteration of entire functions and investigate the growth \u00a0of \u00a0iterated \u00a0entire \u00a0functions \u00a0of \u00a0finite \u00a0iterated \u00a0order. \u00a0Here \u00a0we \u00a0prove \u00a0some \u00a0results \u00a0on \u00a0the growth of iterated entire functions of finite iterated order. The results improve and generalize some earlier results.