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Composite Meromorphic Functions and Growth of the Spherical Derivative

โœ Scribed by Detlef Bargmann; Walter Bergweiler

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
75 KB
Volume
257
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Let f and h be transcendental meromorphic and g a transcendental entire function. It is shown that if h grows slower than g in a suitable sense, then there ลฝ . ลฝ ลฝ .. ลฝ . exists an unbounded sequence z such that f g z s h z . แฎŠ 2001 Academic n n n Press 1 Supported by Deutscher Akademischer Austauschdienst. We also thank Professor C.-C.

Yang for useful discussions, the Department of Mathematics of the Hong Kong University of ลฝ . Science and Technology where part of the research was carried out for hospitality, and the referee for helpful comments.

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