Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers

M. Elena Luna-Elizarrarás; Michael Shapiro; Alexander Balankin

doi:10.1007/s13324-020-00356-5

Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers

M. Elena Luna-Elizarrarás, Michael Shapiro, Alexander Balankin

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.

Idioma original	Inglés
Número de artículo	13
Publicación	Analysis and Mathematical Physics
Volumen	10
N.º	1
DOI	https://doi.org/10.1007/s13324-020-00356-5
Estado	Publicada - 1 mar. 2020

Acceder al documento

10.1007/s13324-020-00356-5

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{b230013df1e74e969542fd646b7e0a4f,

title = "Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers",

abstract = "In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.",

keywords = "Bicomplex numbers, Fractals, Hyperbolic numbers",

author = "Luna-Elizarrar{\'a}s, {M. Elena} and Michael Shapiro and Alexander Balankin",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

month = mar,

day = "1",

doi = "10.1007/s13324-020-00356-5",

language = "Ingl{\'e}s",

volume = "10",

journal = "Analysis and Mathematical Physics",

issn = "1664-2368",

number = "1",

}

TY - JOUR

T1 - Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers

AU - Luna-Elizarrarás, M. Elena

AU - Shapiro, Michael

AU - Balankin, Alexander

PY - 2020/3/1

Y1 - 2020/3/1

N2 - In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.

AB - In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.

KW - Bicomplex numbers

KW - Fractals

KW - Hyperbolic numbers

UR - http://www.scopus.com/inward/record.url?scp=85079053589&partnerID=8YFLogxK

U2 - 10.1007/s13324-020-00356-5

DO - 10.1007/s13324-020-00356-5

M3 - Artículo

SN - 1664-2368

VL - 10

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

IS - 1

M1 - 13

ER -

Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto