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Multiplicities in Hayman's alternative
Published online by Cambridge University Press: 09 April 2009
Abstract
In 1959 Hayman proved an inequality from which it follows that if f is transcendental and meromorphic in the plane then either f takes every finite complex value infinitely often or each derivative f(k), k ≥1, takes every finite non-zero value infinitely often. We investigate the extent to which these values may be ramified, and we establish a generalization of Hayman's inequality in which multiplicities are not taken into account.
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- Research Article
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- Copyright © Australian Mathematical Society 2005
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