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Bihyperbolic numbers of the Fibonacci type as tridiagonal matrix determinants
Bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper, we construct a family of tridiagonal matrices which determinants (continuants) and permanents can represent the sequences of bihyperbolic numbers of the Fibonacci type.
Dorota Bród, Anetta Szynal-Liana
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On a new generalization of bihyperbolic Pell numbers
Dorota Bród +2 more
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Low concentrations of neuroactive steroids alter kinetics of [3H]ifenprodil binding to the NMDA receptor in rat frontal cortex. [PDF]
Johansson T +3 more
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Structure-absorption relationships of a series of 6-fluoroquinolones. [PDF]
Escribano E +5 more
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One-parameter generalization of the bihyperbolic Jacobsthal numbers
Asian-European Journal of Mathematics, 2022In this paper, we introduce and study a one-parameter generalization of bihyperbolic Jacobsthal numbers. We give some identities and the generating function for these numbers.
Bród, Dorota +2 more
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Algebraic Properties of Bihyperbolic Numbers
Advances in Applied Clifford Algebras, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Merve Bilgin, Soley Ersoy
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Bihyperbolic numbers of the Fibonacci type and their idempotent representation
Commentationes Mathematicae Universitatis Carolinae, 2022Summary: In this paper we introduce bihyperbolic numbers of the Fibonacci type. We present some of their properties using matrix generators and idempotent representations.
Bród, Dorota +2 more
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On some combinatorial properties of bihyperbolic numbers of the Fibonacci type
Mathematical Methods in the Applied Sciences, 2020In 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 these numbers.
Dorota Bród +2 more
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On the Bihyperbolic \(k\)-Fibonacci Numbers
Communications in Mathematics and Applications532
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Conditional probability measure in the algebra of bihyperbolic numbers
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of UkraineAn important area of modern mathematics is the study of hypercomplex systems and their possible applications, in particular, for the construction of hypercomplex measure theory, probability theory and mathematical statistics. In this paper, we present a generalization of the notion of a conditional probability measure (real-valued conditional ...
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