Research Article

Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)

Volume: 14 Number: 2 July 31, 2024
EN

Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)

Abstract

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.

Keywords

References

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  3. [3] D. Br´od, A. Szynal-Liana, I. W loch, On some combinatorial properties of bihyperbolic numbers of the Fibonacci type, Math. Methods Appl. Sci., 44, 2021, 4607-4615.
  4. [4] J. Cockle, On a new imaginary in algebra, Lond. Edinb. Dubl. Phil. Mag., 34, 1849, 37-47.
  5. [5] J. Cockle, On certain functions resembling quaternions, and on a new imaginary in algebra, Lond. Edinb. Dubl. Phil. Mag., 33, 1848, 435-439.
  6. [6] J. Cockle, On impossible equations, on impossible quantities, and on tessarines, Lond. Edinb. Dubl. Phil. Mag., 37, 1850, 281-283.
  7. [7] J. Cockle, On the symbols of algebra, and on the theory of tesarines, Lond. Edinb. Dubl. Phil. Mag., 34, 1849, 406-410.
  8. [8] O.G. Ganyushkin, R.A. Zatorsky, I.I. Lishchinskii, On paradeterminants and parapermanents of triangular matrices, Bull. Kyiv Univ. Ser. Phys. Math., 1, 2005, 35-41.

Details

Primary Language

English

Subjects

Mathematics Education, Science Education, Science and Mathematics Education (Other)

Journal Section

Research Article

Authors

Pawel Bednarz This is me
Poland

Publication Date

July 31, 2024

Submission Date

April 18, 2023

Acceptance Date

October 7, 2023

Published in Issue

Year 2024 Volume: 14 Number: 2

APA
Bednarz, P., & Szynal-lıana, A. (2024). Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables). Azerbaijan Journal of Mathematics, 14(2), 79-86. https://izlik.org/JA55YZ89SP
AMA
1.Bednarz P, Szynal-lıana A. Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables). AZJM. 2024;14(2):79-86. https://izlik.org/JA55YZ89SP
Chicago
Bednarz, Pawel, and Anetta Szynal-lıana. 2024. “Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)”. Azerbaijan Journal of Mathematics 14 (2): 79-86. https://izlik.org/JA55YZ89SP.
EndNote
Bednarz P, Szynal-lıana A (July 1, 2024) Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables). Azerbaijan Journal of Mathematics 14 2 79–86.
IEEE
[1]P. Bednarz and A. Szynal-lıana, “Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)”, AZJM, vol. 14, no. 2, pp. 79–86, July 2024, [Online]. Available: https://izlik.org/JA55YZ89SP
ISNAD
Bednarz, Pawel - Szynal-lıana, Anetta. “Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)”. Azerbaijan Journal of Mathematics 14/2 (July 1, 2024): 79-86. https://izlik.org/JA55YZ89SP.
JAMA
1.Bednarz P, Szynal-lıana A. Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables). AZJM. 2024;14:79–86.
MLA
Bednarz, Pawel, and Anetta Szynal-lıana. “Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables)”. Azerbaijan Journal of Mathematics, vol. 14, no. 2, July 2024, pp. 79-86, https://izlik.org/JA55YZ89SP.
Vancouver
1.Pawel Bednarz, Anetta Szynal-lıana. Bihyperbolic Numbers of the Fibonacci Type and Triangular Matrices (Tables). AZJM [Internet]. 2024 Jul. 1;14(2):79-86. Available from: https://izlik.org/JA55YZ89SP