Vol. 1 No. 1 (2017): Vol 1, Iss 1, Year 2017
Articles

Higher Order Fibonacci Sequence and Series by Generalized Higher Order Variable Co-Efficient Difference Operator

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  • Sandra Pinelas,
  • Mohan B,
  • Britto Antony Xavier G
Sandra Pinelas
Departamento de Cincias Exactas e Naturais Av. Conde Castro Guimares 2720-113, Amadora, Portugal.
Mohan B
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District- 635 601, TamilNadu, India.
Britto Antony Xavier G
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District- 635 601, TamilNadu, India.
DOI: https://doi.org/10.26524/cm9
Published June 30, 2017
Keywords
  • Generalized difference operator, Variable co-efficient, Fibonacci sequence, Closed form solution, Fibonacci summation.
How to Cite
Pinelas, S., B, M., & G, B. A. X. (2017). Higher Order Fibonacci Sequence and Series by Generalized Higher Order Variable Co-Efficient Difference Operator. Journal of Computational Mathematica, 1(1), 112-122. https://doi.org/10.26524/cm9

Abstract

In this paper, we introduce generalized m ^th order difference operator with variable co-efficient and its inverse by which we obtain higher Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of higher Fibonacci sequence with variable co-efficient are derived. Suitable examples are provided to illustrate our results.

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