On the derivatives of bivariate Fibonacci polynomials

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)

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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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