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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 2, Pages 235–243
(Mi jsfu368)
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This article is cited in 4 scientific papers (total in 4 papers)
On interpolation in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic
Faizo A. Shamoyan, Eugenia G. Rodikova Bryansk State University, Bezhitskaya, 14, Bryansk, 241036 Russia
Abstract:
In this paper we solve the interpolation problem for the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic under the condition that interpolation nodes are contained in a finite union of Stolz angles.
Keywords:
interpolation, holomorphic functions, the Nevanlinna characteristic, Stolz angles.
Received: 25.12.2013 Received in revised form: 23.02.2014 Accepted: 18.03.2014
Citation:
Faizo A. Shamoyan, Eugenia G. Rodikova, “On interpolation in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 235–243
Linking options:
https://www.mathnet.ru/eng/jsfu368 https://www.mathnet.ru/eng/jsfu/v7/i2/p235
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