A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula

José Oscar González-Cervantes; Juan Bory-Reyes

doi:10.1016/j.jmaa.2022.126923

A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula

José Oscar González-Cervantes, Juan Bory-Reyes

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.

Translated title of the contribution	Una fórmula de tipo Borel-Pompeiu fraccional ponderada bicompleja (ϑ, φ)
Original language	English
Article number	126923
Journal	Journal of Mathematical Analysis and Applications
Volume	520
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2022.126923
State	Published - 15 Apr 2023

Keywords

Bicomplex analysis
Borel-Pompeiu formula
Cauchy-Riemann operator
Riemann-Liouville and Caputo derivatives

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10.1016/j.jmaa.2022.126923

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abstract = "The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.",

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AU - González-Cervantes, José Oscar

AU - Bory-Reyes, Juan

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N2 - The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.

AB - The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.

KW - Bicomplex analysis

KW - Borel-Pompeiu formula

KW - Cauchy-Riemann operator

KW - Riemann-Liouville and Caputo derivatives

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ER -

A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula

Abstract

Keywords

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