Infinite growth of solutions of second order complex differential equations with meromorphic coefficients

Abstract

<abstract><p>This paper is devoted to studying the growth of solutions of $ f''+A(z)f'+B(z)f = 0 $, where $ A(z) $ and $ B(z) $ are meromorphic functions. With some additional conditions, we show that every non-trivial solution $ f $ of the above equation has infinite order. In addition, we also obtain the lower bound of measure of the angular domain, in which the radial order of $ f $ is infinite.</p></abstract>