Eigenfunctions of two-scale difference equations and Appell polynomials

DOI10.4171/ZAA/1025zbMath0986.39002OpenAlexW2075637938MaRDI QIDQ5945536

Manfred Krüppel, Lothar Berg

Publication date: 16 January 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1025

zbMATH Keywords

eigenfunctionseigenvalue problemsAppell polynomialsdistributional solutionsbasic functional equationminimal characteristic polynomialsrational solutionreversed eigenfunctionstwo-scale difference equations

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Eigenvalue problems for linear operators (47A75) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Appell, Horn and Lauricella functions (33C65)

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Eigenfunctions of two-scale difference equations with rational symbol ⋮ On difference equations with powers as solutions and their connection with invariant curves ⋮ Unnamed Item ⋮ Eigenfunctions of two-scale difference equations with dilation parameter and infinite products

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