A note on a transform to self-inverse sequences

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:4
A note on a transform to self-inverse sequences

A note on a transform to self-inverse sequences

Pages : 1123-1130

View : 19 | Download : 10

Publication Date : 2021-08-06

Article Type : Research Paper

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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