Vol. 2 No. 1 (2018): Vol 2, Iss 1, Year 2018
Articles

Fibonacci Sequence Generated from Three-Dimensional q-Difference Equation

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  • Prabavathi M,
  • Gerly T G,
  • Mohan B
Prabavathi M
PG & Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.
Gerly T G
PG & Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.
Mohan B
PG & Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.
DOI: https://doi.org/10.26524/cm28
Published June 30, 2018
Keywords
  • Fibonacci numbers, higher order q-difference operator and Summation solution.
How to Cite
M, P., T G, G., & B, M. (2018). Fibonacci Sequence Generated from Three-Dimensional q-Difference Equation. Journal of Computational Mathematica, 2(1), 64-74. https://doi.org/10.26524/cm28

Abstract

In this research work, the authors define three dimensional -difference operator and present some significant results using the inverse of the three dimensional -difference operator. Also the summation solution and the closed form solutions of polynomials and logarithmic functions using three dimensional -difference equation have been obtained. This work also includes generalized product formula for polynomial, reciprocal of polynomial and logarithmic functions using inverse of three dimensional -difference operator. Consequently, relevant examples are being given to investigate the results.

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