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Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 11, Pages 78–83 (Mi ivm8397)  

This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Regularization of linear difference equations with analytic coefficients and their applications

F. N. Garif'yanova, E. V. Nasyrovab

a Chair of Higher Mathematics, Kazan State Energy University, Kazan, Russia
b Chair of Special Mathematics, Kazan State Technical University, Kazan, Russia

Abstract: We propose a regularization method for four-element linear difference equations with analytic coefficients. We study these equations in the class of functions which are holomorphic in the complex plane with a cruciform cut and vanish at infinity. We give several examples illustrating the dependence of the solvability properties of equations on the choice of periodic coefficients. We describe various applications.

Keywords: difference equations, regularization method, Carleman problem, moments of entire functions.

Full text: PDF file (168 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:11, 66–70

Bibliographic databases:

UDC: 517.929+517.518
Presented by the member of Editorial Board: Л. А. Аксентьев
Received: 01.03.2011

Citation: F. N. Garif'yanov, E. V. Nasyrova, “Regularization of linear difference equations with analytic coefficients and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 78–83; Russian Math. (Iz. VUZ), 55:11 (2011), 66–70

Citation in format AMSBIB
\Bibitem{GarNas11}
\by F.~N.~Garif'yanov, E.~V.~Nasyrova
\paper Regularization of linear difference equations with analytic coefficients and their applications
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 78--83
\mathnet{http://mi.mathnet.ru/ivm8397}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2963182}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 66--70
\crossref{https://doi.org/10.3103/S1066369X11110090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856283270}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. F. N. Garif'yanov, E. V. Strezhneva, “Difference equation for functions analytical outside two squares”, Russian Math. (Iz. VUZ), 62:6 (2018), 1–5  mathnet  crossref  isi
    2. Garif'yanov F.N., Strezhneva E.V., “on a Difference Equation Generated By Two “Close” Squares”, Lobachevskii J. Math., 40:1, SI (2019), 55–59  crossref  isi
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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