Generating function of the solution of a difference equation and the Newton polyhedron of the characteristic polynomial

DOI10.26516/1997-7670.2022.40.3zbMath1497.39014OpenAlexW4285140055MaRDI QIDQ2171756

Tat'yana Igorevna Yakovleva, Evgeniĭ Konstantinovich Leĭnartas

Publication date: 9 September 2022

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

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1407

zbMATH Keywords

Cauchy problemgenerating functionmultidimensional difference equationsrational coneNewton polyhedron of characteristic polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Difference equations in the complex domain (39A45)

Related Items

Sections of the generating series of a solution to a difference equation in a simplicial cone

Cites Work

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