Complex Francois Numbers

Tuba Çakmak Katırcı

doi:10.47000/tjmcs.1753460

Complex Francois Numbers

Abstract

In this paper, using the Francois numbers, the complex Francois numbers are defined. Also, some algebraic properties of the complex Francois numbers such as recurrence relation, Binet's formula, generating function are given. In addition, the sum formulas and some of the relations between these numbers and complex Fibonacci, complex Lucas numbers are proven.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Tuba Çakmak Katırcı ^*
0009-0001-7460-0784
Türkiye

Publication Date

October 13, 2026

Submission Date

July 29, 2025

Acceptance Date

March 8, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1753460

IZ

https://izlik.org/JA36JK57XC

Cite

RIS / Bibtex

APA

Çakmak Katırcı, T. (2026). Complex Francois Numbers. Turkish Journal of Mathematics and Computer Science, 18(3), 735-743. https://doi.org/10.47000/tjmcs.1753460

AMA

1.Çakmak Katırcı T. Complex Francois Numbers. TJMCS. 2026;18(3):735-743. doi:10.47000/tjmcs.1753460

Chicago

Çakmak Katırcı, Tuba. 2026. “Complex Francois Numbers”. Turkish Journal of Mathematics and Computer Science 18 (3): 735-43. https://doi.org/10.47000/tjmcs.1753460.

EndNote

Çakmak Katırcı T (October 1, 2026) Complex Francois Numbers. Turkish Journal of Mathematics and Computer Science 18 3 735–743.

IEEE

[1]T. Çakmak Katırcı, “Complex Francois Numbers”, TJMCS, vol. 18, no. 3, pp. 735–743, Oct. 2026, doi: 10.47000/tjmcs.1753460.

ISNAD

Çakmak Katırcı, Tuba. “Complex Francois Numbers”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 735-743. https://doi.org/10.47000/tjmcs.1753460.

JAMA

1.Çakmak Katırcı T. Complex Francois Numbers. TJMCS. 2026;18:735–743.

MLA

Çakmak Katırcı, Tuba. “Complex Francois Numbers”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 735-43, doi:10.47000/tjmcs.1753460.

Vancouver

1.Tuba Çakmak Katırcı. Complex Francois Numbers. TJMCS. 2026 Oct. 1;18(3):735-43. doi:10.47000/tjmcs.1753460