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Value distribution of certain monomials of algebroid functions
Published online by Cambridge University Press: 09 April 2009
Abstract
Hayman has shown that if f is a transcendental meromorphic function and n ≽ 3, then fn f′ assumes all finite values except possibly zero infinitely often. We extend his result in three directions by considering an algebroid function ω, its monomial ωn0 ω′n1, and by estimating the growth of the number of α-points of the monomial.
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- Copyright © Australian Mathematical Society 1997