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This article is cited in 3 scientific papers (total in 3 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.
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UDC:
517.53 Received: 25.12.2013 Received in revised form: 23.02.2014 Accepted: 18.03.2014
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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
Citation in format AMSBIB
\Bibitem{ShaRod14}
\by Faizo~A.~Shamoyan, Eugenia~G.~Rodikova
\paper On interpolation in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 2
\pages 235--243
\mathnet{http://mi.mathnet.ru/jsfu368}
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http://mi.mathnet.ru/eng/jsfu368 http://mi.mathnet.ru/eng/jsfu/v7/i2/p235
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Eugenia G. Rodikova, “On interpolation in the class of analytic functions in the unit disk with the Nevanlinna characteristic from Lp-spaces”, Zhurn. SFU. Ser. Matem. i fiz., 9:1 (2016), 69–78
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V. A. Bednazh, E. G. Rodikova, F. A. Shamoyan, “Multiple interpolation and principal parts of a Laurent series for meromorphic functions in the unit disk with power growth of the Nevanlinna characteristic”, Complex Anal. Oper. Theory, 11:1 (2017), 197–215
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E. G. Rodikova, V. A. Bednazh, “Ob interpolyatsii v klassakh I.I. Privalova v kruge”, Sib. elektron. matem. izv., 16 (2019), 1762–1775
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