Dual Jacobsthal Quaternions

Fügen Torunbalcı Aydın

doi:10.33434/cams.680381

EN

Dual Jacobsthal Quaternions

Abstract

In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne's identity, Cassini's identity and Catalan's identity for these quaternions were given.

Keywords

Jacobsthal number, Jacobsthal-Lucas number, Jacobsthal quaternion, dual jacobsthal quaternion

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fügen Torunbalcı Aydın ^*
0000-0002-4953-1078
Türkiye

Publication Date

September 29, 2020

Submission Date

January 27, 2020

Acceptance Date

September 22, 2020

Published in Issue

Year 2020 Volume: 3 Number: 3

DOI

https://doi.org/10.33434/cams.680381

IZ

https://izlik.org/JA96KE58BL

APA

Torunbalcı Aydın, F. (2020). Dual Jacobsthal Quaternions. Communications in Advanced Mathematical Sciences, 3(3), 130-142. https://doi.org/10.33434/cams.680381

AMA

1.Torunbalcı Aydın F. Dual Jacobsthal Quaternions. Communications in Advanced Mathematical Sciences. 2020;3(3):130-142. doi:10.33434/cams.680381

Chicago

Torunbalcı Aydın, Fügen. 2020. “Dual Jacobsthal Quaternions”. Communications in Advanced Mathematical Sciences 3 (3): 130-42. https://doi.org/10.33434/cams.680381.

EndNote

Torunbalcı Aydın F (September 1, 2020) Dual Jacobsthal Quaternions. Communications in Advanced Mathematical Sciences 3 3 130–142.

IEEE

[1]F. Torunbalcı Aydın, “Dual Jacobsthal Quaternions”, Communications in Advanced Mathematical Sciences, vol. 3, no. 3, pp. 130–142, Sept. 2020, doi: 10.33434/cams.680381.

ISNAD

Torunbalcı Aydın, Fügen. “Dual Jacobsthal Quaternions”. Communications in Advanced Mathematical Sciences 3/3 (September 1, 2020): 130-142. https://doi.org/10.33434/cams.680381.

JAMA

1.Torunbalcı Aydın F. Dual Jacobsthal Quaternions. Communications in Advanced Mathematical Sciences. 2020;3:130–142.

MLA

Torunbalcı Aydın, Fügen. “Dual Jacobsthal Quaternions”. Communications in Advanced Mathematical Sciences, vol. 3, no. 3, Sept. 2020, pp. 130-42, doi:10.33434/cams.680381.

Vancouver

1.Fügen Torunbalcı Aydın. Dual Jacobsthal Quaternions. Communications in Advanced Mathematical Sciences. 2020 Sep. 1;3(3):130-42. doi:10.33434/cams.680381

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