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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

A note on a transform to self-inverse sequences

Altan Erdoğan
Pages
1123–1130
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A criterion for the solutions of some difference equations to be self-inverse is also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The sequences which are fixed by the binomial transform are called self-inverse sequences.
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Key Findings & Data: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.
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Conclusion & Impact:A criterion for the solutions of some difference equations to be self-inverse is also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Binomial Transform · Self-inverse Sequences · Difference Equations

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.

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Cite This Article

Erdoğan, A. (2022). A note on a transform to self-inverse sequences. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 1123–1130. https://ajindex.com/articles/529526

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References (6)

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