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 J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 2, Pages 235–243 (Mi jsfu368)

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
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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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. 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
2. 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
3. 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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