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Keywords:
third-order Jacobsthal number; hyperbolic number; bihyperbolic number; recurrence relation
third-order Jacobsthal number; hyperbolic number; bihyperbolic number; recurrence relation
Summary:
A new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A general Vajda formula for the generalized bihyperbolic third-order Jacobsthal polynomials is obtained. This result implies the Catalan, Cassini and d'Ocagne identities. Moreover, generating function and matrix generators for these polynomials are presented.
References:
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