**Adnan Karataş**

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 3, Pages 458–465

DOI: 10.7546/nntdm.2022.28.3.458-465

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## Details

### Authors and affiliations

Adnan Karataş

*Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University
Denizli, Turkey
*

### Abstract

In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.

### Keywords

- Complex numbers
- Fibonacci sequence
- Lucas sequence

### 2020 Mathematics Subject Classification

- 15A66
- 11B37
- 11Y55

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### Manuscript history

- Received: 30 March 2022
- Revised: 26 July 2022
- Accepted: 28 July 2022
- Online First: 29 July 2022

## Related papers

- Shannon, A. G. (2019). A note on generalized Leonardo numbers.
*Notes on Number Theory and Discrete Mathematics*, 25(3), 97–101. - Shattuck, M. (2022). Combinatorial proofs of identities for the generalized Leonardo numbers.
*Notes on Number Theory and Discrete Mathematics*, 28(4), 778-790.

## Cite this paper

Karataş, A. (2022). On complex Leonardo numbers. *Notes on Number Theory and Discrete Mathematics*, 28(3), 458-465, DOI: 10.7546/nntdm.2022.28.3.458-465.