Results 11 to 20 of about 43 (41)

Bihyperbolic numbers of the Fibonacci type as tridiagonal matrix determinants

open access: yesBoletim da Sociedade Paranaense de Matemática
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
openaire   +1 more source

On a new generalization of bihyperbolic Pell numbers

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2021
Dorota Bród   +2 more
openaire   +1 more source

Structure-absorption relationships of a series of 6-fluoroquinolones. [PDF]

open access: yesAntimicrob Agents Chemother, 1997
Escribano E   +5 more
europepmc   +1 more source

One-parameter generalization of the bihyperbolic Jacobsthal numbers

Asian-European Journal of Mathematics, 2022
In 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
openaire   +2 more sources

Algebraic Properties of Bihyperbolic Numbers

Advances in Applied Clifford Algebras, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Merve Bilgin, Soley Ersoy
openaire   +2 more sources

Bihyperbolic numbers of the Fibonacci type and their idempotent representation

Commentationes Mathematicae Universitatis Carolinae, 2022
Summary: 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
openaire   +1 more source

On some combinatorial properties of bihyperbolic numbers of the Fibonacci type

Mathematical Methods in the Applied Sciences, 2020
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 these numbers.
Dorota Bród   +2 more
openaire   +2 more sources

On the Bihyperbolic \(k\)-Fibonacci Numbers

Communications in Mathematics and Applications
532
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Conditional probability measure in the algebra of bihyperbolic numbers

Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
An 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 ...
openaire   +1 more source

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