Results 11 to 20 of about 1,577,180 (48)
Bihyperbolic numbers of the Fibonacci type as tridiagonal matrix determinants
Boletim da Sociedade Paranaense de MatemáticaBihyperbolic 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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Bihyperbolic numbers of the Fibonacci type and triangular matrices (tables)
Azerbaijan Journal of MathematicsSummary: In this paper, we compute paradeterminants and parapermanents of some triangular matrices that give bihyperbolic numbers of the Fibonacci type. Using connections between the paradeterminant of triangular matrix and the lower Hessenberg determinant, we also obtain the general term of these sequences.
Bednarz, P., Szynal-Liana, A.
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On a new generalization of bihyperbolic Pell numbers
Annals of the Alexandru Ioan Cuza University - Mathematics, 2021 In this paper we introduce a new one-parameter generalization of bihyperbolic Pell numbers. We give some of their properties, among others the Binet formula, convolution identity and the generating function.
Dorota Bród +2 more
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On certain bihypernomials related to Pell and Pell-Lucas numbers
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively.
A. Szynal-Liana, I. Włoch, M. Liana
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Notes on Number Theory and Discrete Mathematics, 2022 In this study, the hybrid-hyperbolic numbers are introduced. This number system is a more general form of the hybrid number system, which is an interesting number system, as well as a number system that includes multicomponent number systems (i.e ...
Bahar Doğan Yazıcı, M. Tosun
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On Bihypernomials Related to Balancing and Chebyshev Polynomials
Azerbaijan Journal of Mathematics, 2023 . In this paper, we introduce and study balancing and Lucas-balancing bihy-pernomials as a generalization of bihyperbolic balancing and Lucas-balancing numbers.
D. Bród, A. Szynal-Liana
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SARS-CoV-2 (COVID-19) by the numbers [PDF]
eLife, 2020 The COVID-19 pandemic is a harsh reminder of the fact that, whether in a single human host or a wave of infection across continents, viral dynamics is often a story about the numbers.
Y. Bar-On +3 more
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Quantum theory based on real numbers can be experimentally falsified [PDF]
Nature, 2021 Although complex numbers are essential in mathematics, they are not needed to describe physical experiments, as those are expressed in terms of probabilities, hence real numbers.
Marc-Olivier Renou +7 more
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Correspondence between Winding Numbers and Skin Modes in Non-Hermitian Systems. [PDF]
Physical Review Letters, 2019 We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condition, and the presence of "skin modes" with open boundary conditions in non-
Kai Zhang, Zhesen Yang, C. Fang
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ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS
Journal of Science and Arts, 2023 In this paper, dual bicomplex Balancing and Lucas-Balancing numbers are defined, and some identities analogous to the classic properties of the Fibonacci and Lucas sequences are produced.
M. Uysal, E. Özkan, Anthony G. Shannon
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