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2016•Scientific Publications of the State University of Novi Pazar Series A Applied Mathematics Informatics and mechanicsOpen access

Sum of two dimensional Fibonacci sequence by solutions of second order difference equations

G. Britto Antony Xavier, S. U. Vasantha Kumar, B.M. Mohan

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Abstract

In this paper, we introduce two dimensional difference operator and its inverse by which we obtain two dimensional Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of two dimensional Fibonacci sequence are derived. Suitable examples are provided to illustrate our results.

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What this paper is about

In this paper, we introduce two dimensional difference operator and its inverse by which we obtain two dimensional Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of two dimensional Fibonacci sequence are derived. Suitable examples are provided to illustrate our results.

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Available abstract

In this paper, we introduce two dimensional difference operator and its inverse by which we obtain two dimensional Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of two dimensional Fibonacci sequence are derived. Suitable examples are provided to illustrate our results.

Key concepts: Fibonacci number, Sequence (biology), Mathematics, Fibonacci polynomials, Operator (biology), Order (exchange), Inverse, Pisano period

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