Research Article

On certain bihypernomials related to Pell and Pell-Lucas numbers

Volume: 71 Number: 2 June 30, 2022
EN

On certain bihypernomials related to Pell and Pell-Lucas numbers

Abstract

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.

Keywords

References

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  3. Brod, D., Szynal-Liana, A., Wloch, I., On some combinatorial properties of bihyperbolic numbers of the Fibonacci type, Math. Methods Appl. Sci., 44(6) (2021), 4607-4615. https://doi.org/10.1002/mma.7054
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  7. Horadam, A. F., Mahon, Bro J. M., Pell and Pell-Lucas polynomials, Fibonacci Quart., 23(1) (1985), 7–20.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2022

Submission Date

March 4, 2021

Acceptance Date

November 2, 2021

Published in Issue

Year 2022 Volume: 71 Number: 2

APA
Szynal-lıana, A., Wloch, İ., & Liana, M. (2022). On certain bihypernomials related to Pell and Pell-Lucas numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(2), 422-433. https://doi.org/10.31801/cfsuasmas.890932
AMA
1.Szynal-lıana A, Wloch İ, Liana M. On certain bihypernomials related to Pell and Pell-Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(2):422-433. doi:10.31801/cfsuasmas.890932
Chicago
Szynal-lıana, Anetta, İwona Wloch, and Mirosław Liana. 2022. “On Certain Bihypernomials Related to Pell and Pell-Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (2): 422-33. https://doi.org/10.31801/cfsuasmas.890932.
EndNote
Szynal-lıana A, Wloch İ, Liana M (June 1, 2022) On certain bihypernomials related to Pell and Pell-Lucas numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 2 422–433.
IEEE
[1]A. Szynal-lıana, İ. Wloch, and M. Liana, “On certain bihypernomials related to Pell and Pell-Lucas numbers”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 2, pp. 422–433, June 2022, doi: 10.31801/cfsuasmas.890932.
ISNAD
Szynal-lıana, Anetta - Wloch, İwona - Liana, Mirosław. “On Certain Bihypernomials Related to Pell and Pell-Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/2 (June 1, 2022): 422-433. https://doi.org/10.31801/cfsuasmas.890932.
JAMA
1.Szynal-lıana A, Wloch İ, Liana M. On certain bihypernomials related to Pell and Pell-Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:422–433.
MLA
Szynal-lıana, Anetta, et al. “On Certain Bihypernomials Related to Pell and Pell-Lucas Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 2, June 2022, pp. 422-33, doi:10.31801/cfsuasmas.890932.
Vancouver
1.Anetta Szynal-lıana, İwona Wloch, Mirosław Liana. On certain bihypernomials related to Pell and Pell-Lucas numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Jun. 1;71(2):422-33. doi:10.31801/cfsuasmas.890932

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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