On quaternion Gaussian Bronze Fibonacci numbers
Abstract
In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided. Tridiagonal matrices are considered to determine the general term of this sequence.
Keywords
Bronze Fibonacci numbers; Gaussian Bronze Fibonacci numbers; quaternions; Generating function; Binet’s formula
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Department of Mathematics, University of Trás-os-Montes e Alto Douro, Portugal Portugal
Department of Mathematics, University of Trás-os-Montes e Alto Douro, Portugal Portugal
https://orcid.org/0000-0002-8545-6765
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