Constant coefficient linear difference equations on the rational cones of the integer lattice

DOI10.1134/S0037446616010080zbMath1343.39003OpenAlexW2316867518MaRDI QIDQ299160

Evgeniĭ Konstantinovich Leĭnartas, Tat'yana Igorevna Yakovleva

Publication date: 22 June 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616010080

zbMATH Keywords

Cauchy problemgenerating functionconstant coefficientsdifference operator\(D\)-finite Laurent serieshigher-dimensional difference equations

Mathematics Subject Classification ID

General theory of difference equations (39A05)

Related Items

Bernoulli polynomials in several variables and summation of monomials over lattice points of a rational parallelotope, Generating function of the solution of a difference equation and the Newton polyhedron of the characteristic polynomial, Sections of the generating series of a solution to a difference equation in a simplicial cone, Riordan arrays and difference equations of subdiagonal lattice paths, Unnamed Item, On Formal Solutions of H¨ormander’s Initial-boundary Value Problem in the Class of Laurent Series, The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones

Cites Work

• On the hierarchy of generating functions for solutions of multidimensional difference equations
• Stability of the Cauchy problem for a multidimensional difference operator and the amoeba of the characteristic set
• D-finite power series
• Differentiably finite power series
• Linear recurrences with constant coefficients: The multivariate case
• Laurent determinants and arrangements of hyperplane amoebas
• Stability theory of difference schemes and iterative methods
• Potential theory on a rhombic lattice
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