Hybrid Quaternions of Pell and Jacobsthal

Authors

  • M. C. Dos S. Mangueira

  • R. P. M. Vieira

  • F. R. V. Alves

  • P. M. M. C. Catarino

pell sequence, jacobsthal sequence, pell and jacobsthal hybrid quaternions, hybrid numbers

Abstract

Knowing that the Pell and Jacobsthal sequences are second-order linear recursive sequences and that they have similarities between them, this study aims to explore these sequences. Thus, an investigation will be carried out on the Pell and Jacobsthal numbers based on the hybrid numbers and their quaternions. In this way, it will be presented as a great among these hybrid themes of Pell and will be presented as a formula of hybrids of Pell Jacobsthal and will be presented, transforming function and its extension to the indices.

Downloads

How to Cite

Hybrid Quaternions of Pell and Jacobsthal. (2022). Global Journal of Science Frontier Research, 22(F3), 5-13. https://doi.org/10.34257/GJSFRHVOL25IS2PG55

References

M Menon (2009) Sobre as origens das definições dos produtos escalar e vetorial. 3117(2).

R De Oliveira (2018) Unknown Title.

A Horadam (1993) Quaternion recurrence relations. 2(2), 23-33.

Mustafa Özdemir (2018) Introduction to Hybrid Numbers. 28(1), 1-32.

O Diskaya, H Menken (2019) On the split (s, t)-Padovan and (s, t)-Perrin quaternions. 13, 25-28.

D Tasci (2018) Padovan and Pell-Padovan quaternions. 42(1), 125-132.

A Horadam (1963) Complex Fibonacci Numbers and Fibonacci Quaternions. 70(3), 289.

Serpil Halici (2012) On Fibonacci Quaternions. 22(2), 321-327.

Serpil Halici (2013) On Complex Fibonacci Quaternions. 23(1), 105-112.

Paula Catarino (2019) On k-Pell hybrid numbers. 22(1), 83-89.

G Cerda-Morales (2018) Investigation of generalized hybrid Fibonacci numbers and their properties.

M Mangueira, R Vieira, F Alves, P Catarino (2020) The hybrid numbers of Padovan and some identities. 34(2), 256-267.

Milena Mangueira, Renata Vieira, Francisco Alves, Paula Catarino (2021) The Oresme sequence: The generalization of its matrix form and its hybridization process. 27(1), 101-111.

Milena Mangueira, Francisco Alves (2020) Números Híbridos de Fibonacci e Pell. 17(3), 831-842.

Anetta Szynal-Liana (2018) The Horadam hybrid numbers. 38(1), 91.

Anetta Szynal-Liana, Iwona Włoch (2019) On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers. 33(1), 276-283.

A Da Deviren, F Kürüz (2020) On the horadam hybrid quaternions.

M Mangueira, F Alves, P Catarino (2022) Hybrid quaternions of leonardo. 23, 51-62.

Hybrid Quaternions of Pell and Jacobsthal

Published

2022-09-20

How to Cite

Hybrid Quaternions of Pell and Jacobsthal. (2022). Global Journal of Science Frontier Research, 22(F3), 5-13. https://doi.org/10.34257/GJSFRHVOL25IS2PG55