On Hybrid numbers with Gaussian Mersenne Coefficients

Abstract

On Hybrid numbers with Gaussian Mersenne Coefficients

Abstract

In this paper, we consider hybrid numbers with Gaussian Mersenne coefficients and investigate their interesting properties such as the Binet formula, Cassini, Catalan, Vajda, D’Ocagne and Honsberger identities. Moreover, we illustrate the results with some examples.

Keywords

• Hybrid Gaussian Mersenne
• Generating function
• Binet formula
• Cassini identity
• Catalan identity
• Vajda identity
• D’Ocagne identity
• Honsberger identity

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