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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 2, Pages 210–220 (Mi jsfu66)  
This article is cited in 2 scientific papers (total in 2 papers)

Riordan's Arrays and Two-dimensional Difference Equations

Alexander P. Lyapin

Institute of Education, Psychology and Sociology, Siberian Federal University, Krasnoyarsk, Russia
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Abstract: We describe of rational Riordan's arrays appearing in combinatorial analysis in terms of solutions of a Cauchy problem for a two-dimensional difference equation. The asymptotics of such arrays has been investigated.
Keywords: Riordan's arrays, multidimensional difference equations, Cauchy problem, the amoeba of a characteristic polynomial.
Received: 08.02.2009
Received in revised form: 11.03.2009
Accepted: 30.04.2009
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: Alexander P. Lyapin, “Riordan's Arrays and Two-dimensional Difference Equations”, J. Sib. Fed. Univ. Math. Phys., 2:2 (2009), 210–220
Citation in format AMSBIB
\Bibitem{Lya09}
\by Alexander~P.~Lyapin
\paper Riordan's Arrays and Two-dimensional Difference Equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 2
\pages 210--220
\mathnet{http://mi.mathnet.ru/jsfu66}
\elib{https://elibrary.ru/item.asp?id=12448966}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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