On the value distribution of phi (z)[f(z)]^{n-1}f^{(k)}(z)

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Yu, 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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