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

Fibonacci Sequence and its Sum by Second Order Difference Operator with Polynomial Factorial

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  • Sandra Pinelas,
  • Rajiniganth P
Sandra Pinelas
Panimalar Institute of Technology, Chennai, Tamil Nadu 600123.
Rajiniganth P
Panimalar Institute of Technology, Chennai, Tamil Nadu 600123
DOI: https://doi.org/10.26524/cm36
Published December 30, 2018
Keywords
  • Difference operator,polynomial factorial, Fibonacci sequence, Closed form solution, Fibonacci summation.
How to Cite
Pinelas, S., & P, R. (2018). Fibonacci Sequence and its Sum by Second Order Difference Operator with Polynomial Factorial. Journal of Computational Mathematica, 2(2), 20-29. https://doi.org/10.26524/cm36

Abstract

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

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