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Year 2022, Volume: 40 Issue: 1, 179 - 187, 25.03.2022

Nurten Gürses Gülsüm Yeliz Şentürk Salim Yüce

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A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers

Year 2022, Volume: 40 Issue: 1, 179 - 187, 25.03.2022

Nurten Gürses Gülsüm Yeliz Şentürk Salim Yüce

Abstract

This paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations. Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and dual-hyperbolic situations as special cases and allows general contributions to the literature for all real number . For this purpose, Binet’s formulas along with Tagiuri’s, Hornsberger’s, D’Ocagne’s, Cassini’s and Catalan’s identities, are calculated for dual-generalized complex Fibonacci and Lucas numbers. Finally, the results are given, and the special cases for this unification are classified.

Keywords

Dual-generalized complex numbers Fibonacci numbers Lucas numbers MSC 2010 11B39 11B83

References

  • The article references can be accessed from the .pdf file.
There are 1 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Nurten Gürses 0000-0001-8407-854X

Gülsüm Yeliz Şentürk This is me 0000-0002-8647-1801

Salim Yüce This is me 0000-0002-8296-6495

Publication Date March 25, 2022
Submission Date March 26, 2021
Published in Issue Year 2022 Volume: 40 Issue: 1

Cite

Vancouver Gürses N, Şentürk GY, Yüce S. A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers. SIGMA. 2022;40(1):179-87.
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IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/