Conjugate complex harmonic functions

Abstract This paper presents several properties and relations that satisfy the components of a bicomplex holomorphic function. It also exhibits several analogies and differences with the case of analytic functions.

Bibliographic Details
Main Authors: Lino F. Reséndis O, Luis M. Tovar S, Yesenia Bravo O
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-023-00433-0
_version_ 1797663640735711232
author Lino F. Reséndis O
Luis M. Tovar S
Yesenia Bravo O
author_facet Lino F. Reséndis O
Luis M. Tovar S
Yesenia Bravo O
author_sort Lino F. Reséndis O
collection DOAJ
description Abstract This paper presents several properties and relations that satisfy the components of a bicomplex holomorphic function. It also exhibits several analogies and differences with the case of analytic functions.
first_indexed 2024-03-11T19:17:41Z
format Article
id doaj.art-ed8a9da9015b409cb585f293e84a483e
institution Directory Open Access Journal
issn 2193-5343
2193-5351
language English
last_indexed 2024-03-11T19:17:41Z
publishDate 2023-06-01
publisher SpringerOpen
record_format Article
series Arabian Journal of Mathematics
spelling doaj.art-ed8a9da9015b409cb585f293e84a483e2023-10-08T11:07:07ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512023-06-0112366768410.1007/s40065-023-00433-0Conjugate complex harmonic functionsLino F. Reséndis O0Luis M. Tovar S1Yesenia Bravo O2Universidad Autónoma Metropolitana Unidad Azcapotzalco Área de Análisis Matemático y sus AplicacionesEscuela Superior de Fisica y Matemáticas, Instituto Politécnico NacionalEscuela Superior de Fisica y Matemáticas, Instituto Politécnico NacionalAbstract This paper presents several properties and relations that satisfy the components of a bicomplex holomorphic function. It also exhibits several analogies and differences with the case of analytic functions.https://doi.org/10.1007/s40065-023-00433-030G3531B0532A30
spellingShingle Lino F. Reséndis O
Luis M. Tovar S
Yesenia Bravo O
Conjugate complex harmonic functions
Arabian Journal of Mathematics
30G35
31B05
32A30
title Conjugate complex harmonic functions
title_full Conjugate complex harmonic functions
title_fullStr Conjugate complex harmonic functions
title_full_unstemmed Conjugate complex harmonic functions
title_short Conjugate complex harmonic functions
title_sort conjugate complex harmonic functions
topic 30G35
31B05
32A30
url https://doi.org/10.1007/s40065-023-00433-0
work_keys_str_mv AT linofresendiso conjugatecomplexharmonicfunctions
AT luismtovars conjugatecomplexharmonicfunctions
AT yeseniabravoo conjugatecomplexharmonicfunctions