On the bicomplex Fibonacci $p$ quaternions

Document Type : Research Paper

Author

Department of‎ ‎Mathematics‎,‎ Kandi Raj College, Kandi‎, ‎India

Abstract

The paper introduces a novel bicomplex Fibonacci p quaternions, establishing algebraic properties, Honsberger identity, D’Ocagne’s identity, Cassini’s identity, Catalan’s identity for these quaternions. The study extends previous work on bicomplex Fibonacci quaternions [10] by incorporating bicomplex Fibonacci p quaternions. These new quaternions may have implications in applied mathematics, quantum mechanics, quantum physics, Lie groups, Kinematics and differential equations.

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