On complex gaussian jacobsthal and jacobsthal-lucas quaternions

Hasan Arslan

doi:10.17776/csj.613058

EN

On complex gaussian jacobsthal and jacobsthal-lucas quaternions

Abstract

The main aim of this work is to introduce the complex Gaussian Jacobsthal and Jacobsthal-Lucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions. We also give their Cassini identities by using Binet formulas. Furthermore, we prove some results for these quaternions such as summation formulas.

Keywords

Recurrence relation,Jacobsthal and Jacobsthal-Lucas numbers,Gaussian numbers,Quaternions,Quaternions

References

REFERENCES
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Hasan Arslan ^*
0000-0002-0430-8737
Türkiye

Publication Date

March 22, 2020

Submission Date

August 29, 2019

Acceptance Date

March 9, 2020

Published in Issue

Year 2020 Volume: 41 Number: 1

DOI

https://doi.org/10.17776/csj.613058

IZ

https://izlik.org/JA85FS65CT

APA

Arslan, H. (2020). On complex gaussian jacobsthal and jacobsthal-lucas quaternions. Cumhuriyet Science Journal, 41(1), 1-10. https://doi.org/10.17776/csj.613058

AMA

1.Arslan H. On complex gaussian jacobsthal and jacobsthal-lucas quaternions. CSJ. 2020;41(1):1-10. doi:10.17776/csj.613058

Chicago

Arslan, Hasan. 2020. “On Complex Gaussian Jacobsthal and Jacobsthal-Lucas Quaternions”. Cumhuriyet Science Journal 41 (1): 1-10. https://doi.org/10.17776/csj.613058.

EndNote

Arslan H (March 1, 2020) On complex gaussian jacobsthal and jacobsthal-lucas quaternions. Cumhuriyet Science Journal 41 1 1–10.

IEEE

[1]H. Arslan, “On complex gaussian jacobsthal and jacobsthal-lucas quaternions”, CSJ, vol. 41, no. 1, pp. 1–10, Mar. 2020, doi: 10.17776/csj.613058.

ISNAD

Arslan, Hasan. “On Complex Gaussian Jacobsthal and Jacobsthal-Lucas Quaternions”. Cumhuriyet Science Journal 41/1 (March 1, 2020): 1-10. https://doi.org/10.17776/csj.613058.

JAMA

1.Arslan H. On complex gaussian jacobsthal and jacobsthal-lucas quaternions. CSJ. 2020;41:1–10.

MLA

Arslan, Hasan. “On Complex Gaussian Jacobsthal and Jacobsthal-Lucas Quaternions”. Cumhuriyet Science Journal, vol. 41, no. 1, Mar. 2020, pp. 1-10, doi:10.17776/csj.613058.

Vancouver

1.Hasan Arslan. On complex gaussian jacobsthal and jacobsthal-lucas quaternions. CSJ. 2020 Mar. 1;41(1):1-10. doi:10.17776/csj.613058

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

On complex gaussian jacobsthal and jacobsthal-lucas quaternions

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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