Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (1115 KB) | Metadata | Table of Contents | ZAA summary
Published online: 2000-12-31
On a Simple System of Discrete Two-Scale Difference EquationsLothar Berg and Manfred Krüppel (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