De Moivre's and Euler Formulas for Matrices of Hybrid Numbers

Akbıyık, Mücahit; Akbıyık, Seda Yamaç; Karaca, Emel; Yılmaz, Fatih

De Moivre's and Euler Formulas for Matrices of Hybrid Numbers

dc.authorid	43595	en_US
dc.authorid	44869	en_US
dc.authorid	278234	en_US
dc.authorid	55070	en_US
dc.contributor.author	Akbıyık, Mücahit
dc.contributor.author	Akbıyık, Seda Yamaç
dc.contributor.author	Karaca, Emel
dc.contributor.author	Yılmaz, Fatih
dc.date.accessioned	2021-12-22T08:49:17Z
dc.date.available	2021-12-22T08:49:17Z
dc.date.issued	2021
dc.department	İstanbul Beykent Üniversitesi	en_US
dc.description.abstract	It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists. At this paper, we provide the Euler’s and De Moivre’s formulas for the 4×4 matrices associated with hybrid numbers by using trigonometric identities. Also, we give the roots of the matrices of hybrid numbers. Moreover, we give some illustrative examples to support the main formulas	en_US
dc.identifier.citation	Axioms 2021, 10, 213.	en_US
dc.identifier.doi	10.3390/axioms10030213
dc.identifier.issn	1434-6044
dc.identifier.scopus	2-s2.0-85114855542	en_US
dc.identifier.scopusquality	Q1	en_US
dc.identifier.uri	https://doi.org/10.3390/axioms10030213
dc.identifier.wos	WOS:000699649800001	en_US
dc.identifier.wosquality	Q2	en_US
dc.indekslendigikaynak	Web of Science	en_US
dc.indekslendigikaynak	Scopus	en_US
dc.language.iso	en	en_US
dc.publisher	MDPI	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.subject	Hybrid numbers	en_US
dc.subject	Matrix representation	en_US
dc.subject	Euler and De Moivre’s formulas	en_US
dc.title	De Moivre's and Euler Formulas for Matrices of Hybrid Numbers	en_US
dc.type	Article	en_US