On the value distribution of phi (z)[f(z)]^{n-1}f^{(k)}(z)
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DownloadYu, Kit-Wing (2001) On the value distribution of phi (z)[f(z)]^{n-1}f^{(k)}(z). RGMIA research report collection, 4 (2).
Abstract
In this paper, the value distribution of phi (z)[f(z)]^{n-1}f^{(k)}(z) is studied, where f(z) is a transcendental meromorphic function, phi(z)(≢ 0) is a function such that T(r, phi) = o(T(r, f)) as r → + ∞, n and k are positive integers such that n = 1 or n ≥ k + 3. This generalizes a result of Hiong.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17392 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | derivatives, inequality, meromorphic functions, small functions, value distribution |
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