Order and hyper-order of entire solutions of linear differential equations with entire coefficients

In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1}( z)f^{( k-1) }+dots+A_{1}( z) f'+A_{0}(z) f=0, $$ where $A_{0}( z) ,dots, A_{k-1}(z)$ are entire functions with $A_{0}(z) otequiv 0$. We will show that if the coefficients satisfy certain grow...

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Bibliographic Details
Main Authors: Benharrat Belaidi, Karima Hamani
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/17/abstr.html