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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 78–83 (Mi ivm8397)  
This article is cited in 3 scientific papers (total in 3 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
Full-text PDF (168 kB) Citations (3)
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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.
Presented by the member of Editorial Board: L. A. Aksent'ev
Received: 01.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 66–70
DOI: https://doi.org/10.3103/S1066369X11110090
Bibliographic databases:
Document Type: Article
UDC: 517.929+517.518
Language: Russian
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
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\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://mathscinet.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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  • https://www.mathnet.ru/eng/ivm/y2011/i11/p78
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:66
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