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Complex Oscillation and Removable Sets

โœ Scribed by J.K. Langley

Book ID
102594736
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
75 KB
Volume
235
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Let A be a transcendental entire function of finite order, and let E be the ลฝ . product of linearly independent solutions of wะ‰ q A z w s 0. We prove the existence of sequences of annuli โ€ such that if E has relatively few zeros in the m union of the โ€ , then E has relatively few zeros in the whole plane. แฎŠ 1999 m

๐Ÿ“œ SIMILAR VOLUMES

Removable Sets in the Oscillation Theory
Removable Sets in the Oscillation Theory of Complex Differential Equations
โœ Ilpo Laine; Shengjian Wu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 270 KB

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 th