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On the distribution of zeros of a strongly annular function
Published online by Cambridge University Press: 22 January 2016
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A function f(z), regular in the unit disk D, is called annular ([1], p. 340) if there is a sequence of closed Jordan curves Jn ⊂ D satisfying
(A1) Jn is contained in the interior of Jn+1 for every n,
(A2) given ε > 0, there exists a positive number n(ε) such that, for each n > n(ε), Jn lies in the region 1 – ε < | z | < 1 and
(A3) lim min {| f(z) |; z ∈ Jn} = + ∞.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1975
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