On Quaternions with Gaussian Oresme Coefficients

Abstract

At this paper, we describe Gaussian Oresme numbers taking into account the Oresme numbers. Furthermore, we investigate their some basic characteristic properties such as Binet formula and Cassini identity, etc. Moreover, we define quaternions with Gaussian Oresme coefficients and obtain their some spectacular properties.

Keywords

• Generating function
• Binet formula
• Cassini identity
• Catalan identity
• D’Ocagne’s identity

References

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