Research Article

Split complex bi-periodic Fibonacci and Lucas numbers

Volume: 71 Number: 1 March 30, 2022
EN

Split complex bi-periodic Fibonacci and Lucas numbers

Abstract

The initial idea of this paper is to investigate the split complex bi-periodic Fibonacci and Lucas numbers by using SCFLN now on. We try to show some properties of SCFLN by taking into account the properties of the split complex numbers. Then, we present interesting relationships between SCFLN.

Keywords

References

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  3. Bilgici, G., Two generalizations of Lucas sequence, Applied Mathematics and Computation, 245 (2014), 526-538. https://doi.org/10.1016/j.amc.2014.07.111.
  4. Catoni, F., Boccaletti, R., Cannata, R., Catoni, V., Nichelatti, E., Zampatti, P., The Mathematics of Minkowski Space-Time, Birkhauser, Basel, 2008.
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  6. Edson, M., Yayenie, O., A new generalization of Fibonacci sequences and extended Binet’s formula, Integers, 9(A48) (2009), 639-654. https://doi.org/10.1515/INTEG.2009.051
  7. Gargoubi, H., Kossentini, S., f-algebra structure on hyperbolic numbers, Adv. Appl. Clifford Algebr., 26(4) (2016), 1211-1233. https://doi.org/10.1007/s00006-016-0644-3
  8. Koshy, T., Fibonacci and Lucas Numbers with Applications, John Wiley and Sons Inc, NY, 2001.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 30, 2022

Submission Date

March 16, 2020

Acceptance Date

August 18, 2021

Published in Issue

Year 2022 Volume: 71 Number: 1

APA
Yılmaz, N. (2022). Split complex bi-periodic Fibonacci and Lucas numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(1), 153-164. https://doi.org/10.31801/cfsuasmas.704435
AMA
1.Yılmaz N. Split complex bi-periodic Fibonacci and Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(1):153-164. doi:10.31801/cfsuasmas.704435
Chicago
Yılmaz, Nazmiye. 2022. “Split Complex Bi-Periodic Fibonacci and Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (1): 153-64. https://doi.org/10.31801/cfsuasmas.704435.
EndNote
Yılmaz N (March 1, 2022) Split complex bi-periodic Fibonacci and Lucas numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 1 153–164.
IEEE
[1]N. Yılmaz, “Split complex bi-periodic Fibonacci and Lucas numbers”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 1, pp. 153–164, Mar. 2022, doi: 10.31801/cfsuasmas.704435.
ISNAD
Yılmaz, Nazmiye. “Split Complex Bi-Periodic Fibonacci and Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/1 (March 1, 2022): 153-164. https://doi.org/10.31801/cfsuasmas.704435.
JAMA
1.Yılmaz N. Split complex bi-periodic Fibonacci and Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:153–164.
MLA
Yılmaz, Nazmiye. “Split Complex Bi-Periodic Fibonacci and Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 1, Mar. 2022, pp. 153-64, doi:10.31801/cfsuasmas.704435.
Vancouver
1.Nazmiye Yılmaz. Split complex bi-periodic Fibonacci and Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Mar. 1;71(1):153-64. doi:10.31801/cfsuasmas.704435

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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