On the hierarchy of generating functions for solutions of multidimensional difference equations

zbMath1338.39003MaRDI QIDQ278555

Tat'yana Igorevna Yakovleva

Publication date: 2 May 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_8f6d1e955ce8483aa5d63619ac7f9dd6&lang=rus

zbMATH Keywords

Cauchy problemgenerating functionD-finite Laurent seriesmultidimensional difference equations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) General theory of difference equations (39A05)

Related Items

Recurrence relations for the sections of the generating series of the solution to the multidimensional difference equation, Constant coefficient linear difference equations on the rational cones of the integer lattice, Discrete generating functions, On correctness of Cauchy problem for a polynomial difference operator with constant coefficients, Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients

Cites Work

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• Differentiably finite power series
• Linear recurrences with constant coefficients: The multivariate case
• Laurent determinants and arrangements of hyperplane amoebas
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• Lattice points in simple polytopes