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Ufa Mathematical Journal, 2014, Volume 6, Issue 1, Pages 18–28
DOI: https://doi.org/10.13108/2014-6-1-18
(Mi ufa230)
 

This article is cited in 3 scientific papers (total in 3 papers)

Problem of multiple interpolation in class of analytical functions of zero order in half-plane

O. A. Bozhenko, K. G. Malyutin

Sumy State University, Sumy, Ukraine
References:
Abstract: In the paper we consider the problem of multiple interpolation in a class of functions of a zero order and type not exceeding normal in the upper halfplane of the complex variable. This problem belongs to the class of problems of free interpolation considered initially by A. F. Leont'ev. We find necessary and sufficient solvability conditions for this problem. The found criteria are formulated in terms of the canonical products constructed on knots of interpolation, and in terms of the Nevanlinna measure determined by these knots. The work is a continuation of researches of the first author considered similar problems in classes of analytic functions in the upper half-plane of a nonzero order.
Keywords: zero specified order, divisor, canonical product, multiple interpolation, Levin condition, Nevanlinna measure.
Received: 27.12.2013
Bibliographic databases:
Document Type: Article
UDC: 517.52
MSC: 30E05, 30D15
Language: English
Original paper language: Russian
Citation: O. A. Bozhenko, K. G. Malyutin, “Problem of multiple interpolation in class of analytical functions of zero order in half-plane”, Ufa Math. J., 6:1 (2014), 18–28
Citation in format AMSBIB
\Bibitem{BozMal14}
\by O.~A.~Bozhenko, K.~G.~Malyutin
\paper Problem of multiple interpolation in class of analytical functions of zero order in half-plane
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 1
\pages 18--28
\mathnet{http://mi.mathnet.ru/eng/ufa230}
\crossref{https://doi.org/10.13108/2014-6-1-18}
\elib{https://elibrary.ru/item.asp?id=21290424}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928201077}
Linking options:
  • https://www.mathnet.ru/eng/ufa230
  • https://doi.org/10.13108/2014-6-1-18
  • https://www.mathnet.ru/eng/ufa/v6/i1/p18
  • This publication is cited in the following 3 articles:
    1. M. V. Kabanko, K. G. Malyutin, “Interpolation sets in spaces of functions of finite order in half–plane”, Ufa Math. J., 16:3 (2024), 40–53  mathnet  crossref
    2. Malyutin K.G., Kabanko V M., Applied Mathematics, Computational Science and Mechanics: Current Problems, Journal of Physics Conference Series, 1479, IOP Publishing Ltd, 2020  crossref  isi  scopus
    3. K. G. Malyutin, “Interpolation Problems of A. F. Leontiev Type”, J. Math. Sci. (N. Y.), 252:3 (2021), 399–419  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
    Statistics & downloads:
    Abstract page:372
    Russian version PDF:172
    English version PDF:18
    References:74
     
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