Growth of Solutions of Certain Linear Differential Equations Near a Singular Point

Abstract

In this master thesis, we are interested about the growth of the solutions of the following complex linear differential equation f + ( ) ( ) ++ ( ) ( ) ( ) − k−10= kk 1 A zf ...A zf 0,{ },..., A( ). Some estimates of where Az z are analytic functions in CC ∈ zz \,−01 k 00 the lower bound of the growth of the solutions of the differential equation are obtained using the concept of [ ] pq -lower order .