On the Hyper-order of Solutions of Second Order Linear Differential Equations with Meromorphic Coefficients

  • Jianren Long
  • Published 2013

Abstract

In this paper, we investigate the growth of solutions of the linear differential equation 0 = Bf f A f      , where ) (z A and 0) )( (  z B are meromorphic functions. More specifically, we estimate the lower bounded of hyperorder of solutions of the equation with respect to the conditions of ) (z A and 0) )( (  z B if solutions 0 ( f ) of the equation is of infinite order. keywords: Deficient value, Complex differential equations, Meromorphic function, Hyper-order. 2010 Mathematical Subject Classification: 34M10; 30D35.

Cite this paper

@inproceedings{Long2013OnTH, title={On the Hyper-order of Solutions of Second Order Linear Differential Equations with Meromorphic Coefficients}, author={Jianren Long}, year={2013} }