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A further result on the complex oscillation theory of periodic second order linear differential equations*
Published online by Cambridge University Press: 20 January 2009
Abstract
We prove the following: Assume that , where p is an odd positive integer, g(ζ is a transcendental entire function with order of growth less than 1, and set A(z) = B(ezz). Then for every solution
, the exponent of convergence of the zero-sequence is infinite, and, in fact, the stronger conclusion
holds. We also give an example to show that if the order of growth of g(ζ) equals 1 (or, in fact, equals an arbitrary positive integer), this conclusion doesn't hold.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 143 - 158
- Copyright
- Copyright © Edinburgh Mathematical Society 1990
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