Abstract Paper


Journal of Computational Mathametica

Title : Fibonacci Sequence Generated from Three-Dimensional q-Difference Equation
Author(s) : 1 M.Prabavathi, 2 T.G.Gerly and 3 B.Mohan
Article Information : , 66-76
Affiliation(s) : 1,2,3 PG and Research Department of Mathematics, Sacred Heart College, Tirupattur, Vellore District - 635 601, Tamil Nadu, S.India.

Abstract :

In this research work, the authors de ne three dimensional q-difference operator and present some signi cant results using the inverse of the three dimensional q-difference operator. Also the summation solution and the closed form solutions of polynomials and logarithmic functions using three dimensional q-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 q-difference operator. Consequently, relevant examples are being given to investigate the results.


Keywords : Fibonacci numbers, higher order q-di erence operator and Summation solution.
Document Type : Research Paper
DOI : Fibonacci Sequence Generated from Three-Dimensional q-Difference Equation
Publication date : July 11, 2018