Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 428936, 8 pages
Research Article

On the Exponent of Convergence for the Zeros of the Solutions of y′′+Ay+By=0

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 1 July 2010; Accepted 12 September 2010

Academic Editor: P. J. Y. Wong

Copyright © 2010 Abdullah Alotaibi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let B and C be entire functions of order less than 1 with C0 and B transcendental. We prove that every solution f0 of the equation y′′+Ay+By=0, A(z)=C(z)eαz, α{0} being has zeros with infinite exponent of convergence.