Convergent factorial series solutions of linear difference equations

DOI10.1016/0022-0396(78)90045-1zbMath0403.39001OpenAlexW2037371904MaRDI QIDQ1256133

W. J. Fitzpatrick, Louis J. Grimm

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90045-1

zbMATH Keywords

Existence TheoremsConvergent SolutionsFactorial SeriesFactorial Series SolutionsLinear Difference Systems

Mathematics Subject Classification ID

Related Items (6)

Difference Equations and Lettenmeyer's Theorem ⋮ Opérateurs intégro-différentiels méromorphes et opérateurs aux différences. (Meromorphic integro-differential operators and difference operators) ⋮ On the sum of certain factorial series ⋮ Rational classification and confluence of regular singular difference systems ⋮ Lieu des pôles d'un système holonome d'équations aux différences finies ⋮ Families of regular solutions of singular systems

Cites Work

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• A canonical form for a system of linear difference equations
• Holomorphic solutions of linear differential systems at singular points
• Holomorphic Solutions of Functional Differential Systems Near Singular Points
• Note on linear difference equations

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