Abstract Paper


Journal of Computational Mathametica

Title : Higher Order Fibonacci Summation Formula with Extorial Functions
Author(s) : 1 Sandra Pinelas, 2 B. Mohan and 3 K. Vignesh
Article Information : , 64-76
Affiliation(s) : 1 Academia Militar, Departamento de Ciências Exactas e Engenharias, Av. Conde Castro Guimaràzes 2720-113 Amadora Portugal.
: 2,3 Department of Mathematics, Sacred Heart College, Tirupattur-635 601,Tamil Nadu,India.

Abstract :

This paper aims to obtain extorial type solutions of Fibonacci difference equations having shift value. A higher order Fibonacci summation formula of product of polynomial and extorial functions is obtained by higher order Fibonacci nabla difference operator, its inverse and the higher order Fibonacci numbers. Extorial function is a function obtained by replacing polynomial into polynomial factorials in the exponential function. Suitable examples with numerical veri cation are inserted to illustrate our main results.


Keywords : Exact solution, Extorial unction,Fibonacci difference equation, Fibonacci numbers, Nabla difference operator, Summation formula.
Document Type : Research Paper
DOI : Higher Order Fibonacci Summation Formula with Extorial Functions
Publication date : May 30, 2019