Geodesic
Asymptotic values of functions, analytic in planar domain
Problemy analiza, Tome 2 (2013) no. 1, pp. 38-42

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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.
Keywords: analytic function; asymptotic value; isolated boundary fragment. 
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     author = {E. G. Ganenkova and V. V. Starkov},
     title = {Asymptotic values of functions, analytic in planar domain},
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E. G. Ganenkova; V. V. Starkov. Asymptotic values of functions, analytic in planar domain. Problemy analiza, Tome 2 (2013) no. 1, pp. 38-42. http://geodesic.mathdoc.fr/item/PA_2013_2_1_a2/