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meromorphic functions
Items for "meromorphic functions"
Conformal measures for non-entire functions with critical values eventually mapped onto infinity
This paper is a continuation of our earlier works [7] and [9] on the fractal
structure of expanding and subexpanding meromorphic functions of the form F = H ° exp ° Q, where H and Q are non-constant rational maps...
Keywords: meromorphic functions, Julia set, Hausdorff dimension, topological pressure, conformal measures
04/2005 | Analysis, Oldenbourg WissenschaftsverlagOn the value distribution of two differential monomials
In this paper, the value distribution of the two differential monomials Φfn f´[f(k)]p and Φfn-1f(k) are considered, where f is a transcendental meromorphic function, Φ is a non-zero meromorphic function such that T(r,Φ)=S(r,f) as r→+∞, possibly outside a set of r of finite linear measure, n, k and p are positive integers...
Keywords: derivatives, inequality, meromorphic functions, small functions, value distribution
02/2008 | Analysis, Oldenbourg Wissenschaftsverlag