2014Turkish Journal of Analysis and Number TheoryRequires access

Determinantal Identities of Fibonacci, Fibonacci Like and Lucas Numbers

Sanjay Harne, V. H. Badshah, Sapna Sethiya

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Abstract

Determinants have played a significant part in various areas in mathematics. For instance, they are quite useful in the analysis and solution of system of linear equations. There are different perspectives on the study of determinant. In this paper we present some determinant identities of Fibonacci and Lucas numbers.

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Determinants have played a significant part in various areas in mathematics. For instance, they are quite useful in the analysis and solution of system of linear equations. There are different perspectives on the study of determinant. In this paper we present some determinant identities of Fibonacci and Lucas numbers.

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Available abstract

Determinants have played a significant part in various areas in mathematics. For instance, they are quite useful in the analysis and solution of system of linear equations. There are different perspectives on the study of determinant. In this paper we present some determinant identities of Fibonacci and Lucas numbers.

Key concepts: Fibonacci number, Fibonacci polynomials, Lucas number, Pisano period, Mathematics, Lucas sequence, Recurrence relation, Combinatorics

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