Fibonacci Sequence Generated From Two Dimensional q-difference Equation


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Authors

  • G. Britto Antony Xavier Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District, Tamil Nadu, India
  • T. G. Gerly Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District, Tamil Nadu, India

Keywords:

Fibonacci numbers, Two-dimensional $q$-difference operator, Summation solution

Abstract

In this paper, we define generalized Fibona-sequence using two-dimensional $q$-difference operator and we derive some algebraic identities as it includes its relationship with Fibonacci numbers. Also we derive theorems using inverse two-dimensional $q$-difference operator.

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Published

15-02-2016

How to Cite

G. Britto Antony Xavier, & T. G. Gerly. (2016). Fibonacci Sequence Generated From Two Dimensional q-difference Equation. International Journal of Mathematics And Its Applications, 4(1 - B), 67–72. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/569

Issue

Vol. 4 No. 1 - B (2016)

Section

Research Article

License

Creative Commons License

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

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