A multidimensional extension of the combinatorics function technique. I. Linear and homogeneous partial difference equations

DOI10.1063/1.525007zbMath0515.39003OpenAlexW2040493819MaRDI QIDQ3662017

Robert J. Jun. Meier, Alain J. Phares

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525007

zbMATH Keywords

existenceconsistencyuniquenesspartial difference equationseries solutionsshifting operatorslinear homogeneous recurrence relationcombinatorics functions

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (1)

A multidimensional extension of the combinatorics function technique. II. Linear and inhomogeneous partial difference equations

Cites Work

• The linear potential wavefunctions
• General formalism solving linear recursion relations
• A general theory of linear finite-difference equations with a few applications

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