Tuba Çakmak and Erdal Karaduman

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 24, 2018, Number 3, Pages 37–46

DOI: 10.7546/nntdm.2018.24.3.37-46

**Full paper (PDF, 169 Kb)**

## Details

### Authors and affiliations

Tuba Çakmak

*Department of Mathematics, Faculty of Science
Atatürk University, Turkey*

Erdal Karaduman

*Department of Mathematics, Faculty of Science
Atatürk University, Turkey*

### Abstract

In this study, the new algebraic properties related to bivariate Fibonacci polynomials have been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the *r*-th partial derivative sequence of bivariate Fibonacci polynomials.

### Keywords

*k*-Fibonacci sequences- Bivariate Fibonacci polynomials
- Partial derivatives of bivariate Fibonacci polynomials

### 2010 Mathematics Subject Classification

- 11B39
- 11B83
- 26A24

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## Cite this paper

Çakmak, T., & Karaduman, E. (2018). On the derivatives of bivariate Fibonacci polynomials. *Notes on Number Theory and Discrete Mathematics*, 24(3), 37-46, DOI: 10.7546/nntdm.2018.24.3.37-46.