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Removable Sets in the Oscillation Theory of Complex Differential Equations

โœ Scribed by Ilpo Laine; Shengjian Wu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
270 KB
Volume
214
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Let f , f be two linearly independent solutions of the linear differential 1 2

ลฝ .

ลฝ . equation f ะ‰ q A z f s 0, where A z is transcendental entire, and assume that the exponents of convergence for the zero-sequences of f , f satisfy 1 2 ลฝ ลฝ . ลฝ .. max f , f s ฯฑ. Our main result proves that the zeros of

uniformly distributed in the sense that quite arbitrary large areas of the complex plane can be removed in such a way that if only zeros outside of these areas will be counted for the exponents of convergences, their maximum still remains infinite.

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