Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Johan Ceballos; Nicolás Coloma; Antonio Di Teodoro; Diego Ochoa–Tocachi

doi:10.1007/s00006-020-01096-2

Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Johan Ceballos
, Nicolás Coloma
, Antonio Di Teodoro^*
, Diego Ochoa–Tocachi

^*Autor correspondiente de este trabajo

Matemáticas

Universidad de las Americas - Ecuador

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

16 Citas (Scopus)

Resumen

In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

Idioma original	Inglés
Número de artículo	70
Publicación	Advances in Applied Clifford Algebras
Volumen	30
N.º	5
DOI	https://doi.org/10.1007/s00006-020-01096-2
Estado	Publicada - 1 nov. 2020

Acceder al documento

10.1007/s00006-020-01096-2

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{d66a4384fd0d4b7499e69f16c0d44685,

title = "Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator",

abstract = "In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.",

keywords = "Associated pair, Fractional Cauchy–Riemann, Fractional calculus, Generalized analytic functions, Linear fractional differential system",

author = "Johan Ceballos and Nicol{\'a}s Coloma and \{Di Teodoro\}, Antonio and Diego Ochoa–Tocachi",

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

year = "2020",

month = nov,

day = "1",

doi = "10.1007/s00006-020-01096-2",

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

volume = "30",

journal = "Advances in Applied Clifford Algebras",

issn = "0188-7009",

publisher = "Springer International Publishing",

number = "5",

}

TY - JOUR

T1 - Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

AU - Ceballos, Johan

AU - Coloma, Nicolás

AU - Di Teodoro, Antonio

AU - Ochoa–Tocachi, Diego

PY - 2020/11/1

Y1 - 2020/11/1

N2 - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

AB - In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

KW - Associated pair

KW - Fractional Cauchy–Riemann

KW - Fractional calculus

KW - Generalized analytic functions

KW - Linear fractional differential system

UR - https://www.scopus.com/pages/publications/85092513353

U2 - 10.1007/s00006-020-01096-2

DO - 10.1007/s00006-020-01096-2

M3 - Artículo

AN - SCOPUS:85092513353

SN - 0188-7009

VL - 30

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 5

M1 - 70

ER -

Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto