Vol. 2 No. 2 (2018): Vol 2, Iss 2, Year 2018
Articles

Fibonacci Sequence and Series by Second Order Difference Operator with Logarithmic Function

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  • Rajiniganth P,
  • Britto Antony Xavier G
Rajiniganth P
PG & Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.
Britto Antony Xavier G
PG & Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.
DOI: https://doi.org/10.26524/cm39
Published December 30, 2018
Keywords
  • Difference operator, Logarithmic function, Fibonacci sequence, Closed form solution.
How to Cite
P, R., & G, B. A. X. (2018). Fibonacci Sequence and Series by Second Order Difference Operator with Logarithmic Function. Journal of Computational Mathematica, 2(2), 51-60. https://doi.org/10.26524/cm39

Abstract

In this paper, we introduce second order difference operator with logarithmic function and its inverse by which we obtain Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of advanced Fibonacci sequence are derived. Suitable examples are provided to illustrate our results and verified by using MATLAB.

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