On quaternion‐Gaussian Lucas numbers

On quaternion‐Gaussian Lucas numbers

In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. Then, we have defined the quaternions that accept these numbers as coefficients. We have examined whether the numbers defined provide some identities for quaternions in the literature. Moreover, we ha...

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-06, Vol.44 (9), p.7601-7606
1. Verfasser: Halici, Serpil
Format: Artikel
Sprache:eng
Schlagworte:
Gaussian numbers
Quaternions
recurrence relations
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Zusammenfassung:In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. Then, we have defined the quaternions that accept these numbers as coefficients. We have examined whether the numbers defined provide some identities for quaternions in the literature. Moreover, we have given some important properties of these numbers with the help of matrices.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6410