The distribution of values of harmonic functions in the unit disk |
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Authors: | S L Berberyan |
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Institution: | 1.Russian-Armenian (Slavonic) University,Yerevan,Republic of Armenia |
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Abstract: | In this paper we study the distribution of values of harmonic functions in non-Euclidean disks. We introduce the notion of
a P′-sequence, which enables us to characterize the class of normal harmonic functions defined in the unit disk. Moreover, we
obtain sufficient conditions for the existence of such sequences and give examples which show that these conditions are essential
in the stated theorems. |
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Keywords: | |
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