Complex Francois Numbers

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.

Authors

Institutions

Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-10-13
DOI
https://doi.org/10.47000/tjmcs.1753460
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Complex Francois Numbers

Tuba Çakmak
Turkish Journal of Mathematics and Computer Science
Advanced Mathematical Theories and Applications
article

Complex Francois Numbers

Tuba Çakmak
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(3)
Erzurum Technical University (TR)
Openalex Percentile: Top 14%
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.