Vol. 3 No. 1 (2019): Vol 3, Iss 1, Year 2019
Articles

Higher Order Fibonacci Summation Formula with Extorial Functions

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  • Sandra Pinelas,
  • Mohan B,
  • Vignesh
Sandra Pinelas
Academia Militar, Departamento de Ciˆencias Exactas e Engenharias, Av. Conde Castro Guimar`azes, 2720-113 Amadora, Portugal.
Mohan B
Department of Mathematics, Sacred Heart College, Tirupattur-635 601, Tamil Nadu, India.
Vignesh
Department of Mathematics, Sacred Heart College, Tirupattur-635 601, Tamil Nadu, India.
DOI: https://doi.org/10.26524/cm48
Published June 30, 2019
Keywords
  • Exact solution, Extorial function, Fibonacci difference equation, Fibonacci numbers, Nabla difference operator, Summation formula.
How to Cite
Pinelas, S., B, M., & Vignesh. (2019). Higher Order Fibonacci Summation Formula with Extorial Functions. Journal of Computational Mathematica, 3(1), 62-74. https://doi.org/10.26524/cm48

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 verification are inserted to illustrate our main results.

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