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Growth Majorants and Quotient Representations of Meromorphic Functions

✍ Scribed by Andrii A. Kondratyuk, Yaroslav V. Vasyl’kiv

Book ID: 120888850
Publisher: Springer-Verlag
Year: 2001
Tongue: English
Weight: 177 KB
Volume: 1
Category: Article
ISSN: 1617-9447
DOI: 10.1007/BF03321007

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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 Ž . Ž Ž .. Ž . exists an unbounded sequence z such that f g z s h z . ᮊ 2001 Academic n n n Press 1 Supported by Deutscher Akademischer Austausc