Growth Properties of Solutions of Linear Differential Equations in an Annulus of The Complex Plane

Abstract

In this master thesis, we study the growth properties of solutions of linear differential equations of the form ( ) ( ) ( ) ( ) 1 1 0 ... 0, k k k f A zf A zf − + ++ = − ( ) ( ) are analytic functions of [ p q, ]-order in an annulus of the 0 1 ,..., where Az A z k− complex plane. We generalize some results obtained on the usual order and the iterated p-order.