On some combinatorial properties of bihyperbolic numbers of the Fibonacci type
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DOI: 10.1002/mma.7054
Abstract: In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for… read more here.
Keywords: bihyperbolic numbers; numbers fibonacci; fibonacci type; properties bihyperbolic ... See more keywords
Algebraic Properties of Bihyperbolic Numbers
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DOI: 10.1007/s00006-019-1036-2
Abstract: In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under consideration of the spectral representation of the bihyperbolic numbers, we give a partial order of bihyperbolic numbers which allows us to obtain… read more here.
Keywords: algebraic properties; properties bihyperbolic; bihyperbolic numbers;