On the Properties of $k$-Fibonacci-Like Sequence


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Authors

  • Arfat Ahmad Wani School of Studies in Mathematics, Vikram University, Ujjain, (M.P.), India
  • Paula Catarino Department of Mathematics, School of Science and Technology, University of Tr´as-os-Montes e Alto Douro, (Vila Real Portugal)
  • Rouf Ur Rafiq Department of Mathematics, Faculty of Environmental Science, Islamic University of Science and Technology, Kashmir, India

Keywords:

Fibonacci Sequence, Generalized Fibonacci Sequence, $k$-Fibonacci Sequence and $k$-Lucas Sequence

Abstract

In this article, we introduce a new generalization of Fibonacci sequence and we call it as $k$-Fibonacci-Like sequence. After that we obtain some fundamental properties for $k$-Fibonacci-Like sequence and also we present some relations among $k$-Fibonacci-Like sequence, $k$-Fibonacci sequence and $k$-Lucas sequence by some algebraic methods.

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Published

01-01-2018

How to Cite

Arfat Ahmad Wani, Paula Catarino, & Rouf Ur Rafiq. (2018). On the Properties of $k$-Fibonacci-Like Sequence. International Journal of Mathematics And Its Applications, 6(1 - A), 187–198. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/913

Issue

Vol. 6 No. 1 - A (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.