A note on a transform to self-inverse sequences

Year 2021, Volume: 50 Issue: 4, 1123 - 1130, 06.08.2021

Altan Erdoğan

https://doi.org/10.15672/hujms.773843

Abstract

The sequences which are fixed by the binomial transform are called self-inverse sequences. In this paper, an identity satisfied by Fibonacci numbers is modified to provide a transform which maps a specific subset of sequences to self-inverse sequences bijectively. The image of some classes of sequences under this transform are explicitly found which provides a new formulation and a class of examples of self-inverse sequences. A criterion for the solutions of some difference equations to be self-inverse is also given.

Keywords

Binomial Transform, Self-inverse Sequences, Difference Equations

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