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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 4, Pages 449–455 (Mi jsfu92)  

This article is cited in 11 scientific papers (total in 11 papers)

On the Rationality of Multidimentional Recusive Series

Evgeny K. Leinartasa, Alexander P. Lyapinb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Institute of Education, Psychology and Sociology, Siberian Federal University, Krasnoyarsk, Russia
References:
Abstract: In this paper we identify a class of solutions to multidimentional difference equation with rational generating function.
Keywords: difference equation, generating function.
Received: 28.09.2009
Received in revised form: 27.10.2009
Accepted: 10.11.2009
Bibliographic databases:
Language: Russian
Citation: Evgeny K. Leinartas, Alexander P. Lyapin, “On the Rationality of Multidimentional Recusive Series”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 449–455
Citation in format AMSBIB
\Bibitem{LeiLya09}
\by Evgeny~K.~Leinartas, Alexander~P.~Lyapin
\paper On the Rationality of Multidimentional Recusive Series
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 4
\pages 449--455
\mathnet{http://mi.mathnet.ru/jsfu92}
\elib{https://elibrary.ru/item.asp?id=12956408}
Linking options:
  • https://www.mathnet.ru/eng/jsfu92
  • https://www.mathnet.ru/eng/jsfu/v2/i4/p449
  • This publication is cited in the following 11 articles:
    1. Evgeny K. Leinartas, Tatiana I. Yakovleva, “Analytic solvability of the Hörmander problem and the Borel transformation of multiple Laurent series”, Zhurn. SFU. Ser. Matem. i fiz., 15:2 (2022), 186–195  mathnet  crossref
    2. A. P. Lyapin, T. Cuchta, “Sections of the generating series of a solution to a difference equation in a simplicial cone”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 42 (2022), 75–89  mathnet  crossref
    3. A. P. Lyapin, S. S. Akhtamova, “Rekurrentnye sootnosheniya dlya sechenii proizvodyaschego ryada resheniya mnogomernogo raznostnogo uravneniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:3 (2021), 414–423  mathnet  crossref
    4. Apanovich M.S., Lyapin A.P., Shadrin V K., “Solving the Cauchy Problem For a Two-Dimensional Difference Equation At a Point Using Computer Algebra Methods”, Program. Comput. Softw., 47:1 (2021), 1–5  crossref  mathscinet  zmath  isi  scopus
    5. Alexander P. Lyapin, Sreelatha Chandragiri, “The Cauchy problem for multidimensional difference equations in lattice cones”, Zhurn. SFU. Ser. Matem. i fiz., 13:2 (2020), 187–196  mathnet  crossref
    6. Lyapin A.P., Chandragiri S., “Generating Functions For Vector Partition Functions and a Basic Recurrence Relation”, J. Differ. Equ. Appl., 25:7 (2019), 1052–1061  crossref  mathscinet  zmath  isi  scopus
    7. Chandragiri S., “Difference Equations and Generating Functions For Some Lattice Path Problems”, J. Sib. Fed. Univ.-Math. Phys., 12:5 (2019), 551–559  mathnet  crossref  mathscinet  isi  scopus
    8. M. S. Apanovich, E. K. Leinartas, “On correctness of Cauchy problem for a polynomial difference operator with constant coefficients”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 26 (2018), 3–15  mathnet  crossref
    9. Kytmanov A.A., Lyapin A.P., Sadykov T.M., “Evaluating the Rational Generating Function For the Solution of the Cauchy Problem For a Two-Dimensional Difference Equation With Constant Coefficients”, Program. Comput. Softw., 43:2 (2017), 105–111  crossref  isi  scopus
    10. T. I. Nekrasova, “Ob ierarkhii proizvodyaschikh funktsii reshenii mnogomernykh raznostnykh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 9 (2014), 91–102  mathnet
    11. T. I. Nekrasova, “Dostatochnye usloviya algebraichnosti proizvodyaschikh funktsii reshenii mnogomernykh raznostnykh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 6:3 (2013), 88–96  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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