On the Rationality of Multidimentional Recusive Series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 449-455.

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In this paper we identify a class of solutions to multidimentional difference equation with rational generating function.
Keywords: difference equation, generating function.
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Evgeny K. Leinartas; Alexander P. Lyapin. On the Rationality of Multidimentional Recusive Series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 449-455. http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a6/

[1] R. Stenli, Perechislitelnaya kombinatorika, Mir, M., 1990 | MR

[2] E. K. Leinartas, “Kratnye ryady Lorana i raznostnye uravneniya”, Sib. mat. zhurn., 45:2 (2004), 387–393 | MR | Zbl

[3] E. K. Leinartas, “Kratnye ryady Lorana i fundamentalnye resheniya lineinykh raznostnykh uravnenii”, Sib. mat. zhurn., 48:2 (2007), 335–340 | MR | Zbl

[4] M. Bousquet-Mélou, M. Petkovšek, “Linear recurrences with constant coefficients: the multivariate case”, Discr. Math., 225 (2000), 51–75 | DOI | MR | Zbl

[5] L. Lipshits, “D-finite power series”, J. Algebra, 122 (1989), 353–373 | DOI | MR

[6] E. K. Leinartas, M. Passare, A. K. Tsikh, “Mnogomernye versii teoremy Puankare dlya raznostnykh uravnenii”, Mat. sb., 199:10 (2008), 87–104 | MR | Zbl

[7] A. P. Lyapin, “Posledovatelnosti Riordana i dvumernye raznostnye uravneniya”, Zhurnal SFU. Matematika i fizika, 2:2 (2009), 210–220

[8] D. M. Bloom, “Singles in a Sequence of Coin Tosses”, The College Mathematics Journal, 29 (1998), 307–344 | DOI | MR

[9] M. V. Fedoryuk, Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR | Zbl