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Zeitschrift für Analysis und ihre Anwendungen

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Volume 19, Issue 4, 2000, pp. 999–1016
DOI: 10.4171/ZAA/994

Published online: 2000-12-31

On a Simple System of Discrete Two-Scale Difference Equations

Lothar Berg[1] and Manfred Krüppel[2]

(1) Universität Rostock, Germany
(2) Universität Rostock, Germany

A special system of two discrete two-scale difference equations with polynomial solutions is investigated. For-the solutions, addition and subtraction theorems are established showing in particular the behaviour of the solutions for a great argument, as well as further relations and inequalities. Also, corresponding generating functions are constructed which imply explicit representations for the Solutions.

Keywords: Discrete two-scale difference equations, polynomials, addition theorems, generating functions, Collatz graph, Fibonacci numbers

Berg Lothar, Krüppel Manfred: On a Simple System of Discrete Two-Scale Difference Equations. Z. Anal. Anwend. 19 (2000), 999-1016. doi: 10.4171/ZAA/994