Meromorphic functions of completely regular growth and their logarithmic derivatives
โ Scribed by A. A. Gol'dberg; M. L. Sodin; N. N. Strochik
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 463 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we prove that if a transcendental meromorphic function f shares two distinct small functions CM with its kth derivative f (k) (k > 1), then f = f (k) . We also resolve the same question for the case k = 1. These results generalize a result due to Frank and Weissenborn.
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 . แฎ 2001 Academic n n n Press 1 Supported by Deutscher Akademischer Austausc