Value distribution of some differential monomials
Copyright policy )Value distribution of some differential monomials
Let f be a transcendental meromorphic function defined in the complex plane C and k ? N. We consider the value distribution of the differential polynomial fq0(f(k))qk, where q0(?2), qk(?1) are integers. We obtain a quantitative estimation of the characteristic function T(r,f) in terms of N?(r, 1/fq0(f(k))qk-1). Our result generalizes the results obtained by Xu et al. (Math. Inequal. Appl., Vol. 14, PP. 93-100, 2011); Karmakar and Sahoo (Results Math., Vol. 73, 2018) for a particular class of transcendental meromorphic functions.
transcendental meromorphic function, 30D35, Entire functions of one complex variable (general theory), differential monomials, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Meromorphic functions of one complex variable (general theory), value distribution, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
transcendental meromorphic function, 30D35, Entire functions of one complex variable (general theory), differential monomials, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Meromorphic functions of one complex variable (general theory), value distribution, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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