On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions

In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.

Bibliographic Details
Main Authors: B. Malini Devi, S. Devibala
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2023-03-01
Series:Baghdad Science Journal
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8429
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author B. Malini Devi
S. Devibala
author_facet B. Malini Devi
S. Devibala
author_sort B. Malini Devi
collection DOAJ
description In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
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issn 2078-8665
2411-7986
language Arabic
last_indexed 2024-04-10T06:26:52Z
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publisher College of Science for Women, University of Baghdad
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spelling doaj.art-010f1967a3794f10a5c87e51415c30472023-03-01T19:36:56ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862023-03-01201(SI)10.21123/bsj.2023.8429On the Split Mersenne and Mersenne-Lucas Hybrid QuaternionsB. Malini Devi0S. Devibala1Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai-625 002, Tamil Nadu, India.Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai-625 002, Tamil Nadu, India. In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8429Binet formula, Hybrid numbers, Mersenne sequence, Mersenne-Lucas sequence, Quaternions
spellingShingle B. Malini Devi
S. Devibala
On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
Baghdad Science Journal
Binet formula, Hybrid numbers, Mersenne sequence, Mersenne-Lucas sequence, Quaternions
title On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
title_full On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
title_fullStr On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
title_full_unstemmed On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
title_short On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
title_sort on the split mersenne and mersenne lucas hybrid quaternions
topic Binet formula, Hybrid numbers, Mersenne sequence, Mersenne-Lucas sequence, Quaternions
url https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8429
work_keys_str_mv AT bmalinidevi onthesplitmersenneandmersennelucashybridquaternions
AT sdevibala onthesplitmersenneandmersennelucashybridquaternions