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On recurrence results from matrix transforms

Ömür Deveci, A. G. Shannon

2022Notes on Number Theory and Discrete Mathematics10 citationsDOIOpen Access PDF

Abstract

In this paper, the Laplace transform and various matrix operations are applied to the characteristic polynomial of the Fibonacci numbers. From this is generated some properties of the Jacobsthal numbers, including triangles where the row sums are known sequences. In turn these produce some new properties.

Topics & Concepts

Fibonacci numberLaplace transformMathematicsMatrix (chemical analysis)CombinatoricsRecurrence relationAlgorithmMathematical analysisMaterials scienceComposite materialAdvanced Mathematical Theories and ApplicationsExperimental and Theoretical Physics StudiesAdvanced Mathematical Theories
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