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

Cite

RIS / Bibtex

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

Öz

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

Cite