ASYMPTOTIC VALUES OF FUNCTIONS, ANALYTIC IN PLANAR DOMAINS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2013, Vol 2, Issue 1
Abstract
In [1] W. Gross constructed the example of an entire function of infinite order whose set of asymptotic values is equal to the extended complex plain. We obtain an analog of Gross’ result for functions, analytic in planar domains of arbitrary connectivity with isolated boundary fragment.
Authors and Affiliations
E. G. Ganenkova, V. V. Starkov
О ХАУСДОРФОВОЙ МЕРЕ ОДНОРОДНОГО ТРЕУГОЛЬНОГО (С, θ)-КОВРА СЕРПИНСКОГО
В работе рассматривается однородный треугольный (с,θ)-ковер Серпинского. Для значений параметра с ⊂(0,1/3] при θ⊂(π/3, π) получено точное значение хаусдорфовой s-меры, а при θ⊂(0, π/3] её оценка.
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