Fractional Bicomplex Leibniz Type Rule inthe Riemann-Liouville Sense

Nicolás Coloma; Antonio Di Teodoro; Diego Ochoa-Tocachi; José Palacios; Francisco Ponce

Fractional Bicomplex Leibniz Type Rule inthe Riemann-Liouville Sense

Nicolás Coloma
, Antonio Di Teodoro^*
, Diego Ochoa-Tocachi
, José Palacios
, Francisco Ponce

^*Autor correspondiente de este trabajo

Matemáticas

ATUK
Universidad San Francisco de Quito

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

Resumen

In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.

Idioma original	Inglés
Páginas (desde-hasta)	103-139
Número de páginas	37
Publicación	Bulletin of Computational Applied Mathematics
Volumen	11
N.º	1
Estado	Publicada - 2023

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abstract = "In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.",

keywords = "Fractional Cauchy-Riemann operator, Leibniz type rule, bicomplex algebra, fractional bicomplex functions, weighted Cauchy-Riemann operator",

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year = "2023",

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

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journal = "Bulletin of Computational Applied Mathematics",

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AU - Coloma, Nicolás

AU - Di Teodoro, Antonio

AU - Ochoa-Tocachi, Diego

AU - Palacios, José

AU - Ponce, Francisco

PY - 2023

Y1 - 2023

N2 - In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.

AB - In this paper we find a Leibniz type formula in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.

KW - Fractional Cauchy-Riemann operator

KW - Leibniz type rule

KW - bicomplex algebra

KW - fractional bicomplex functions

KW - weighted Cauchy-Riemann operator

UR - https://www.scopus.com/pages/publications/85187140247

M3 - Artículo

AN - SCOPUS:85187140247

SN - 2244-8659

VL - 11

SP - 103

EP - 139

JO - Bulletin of Computational Applied Mathematics

JF - Bulletin of Computational Applied Mathematics

IS - 1

ER -

Fractional Bicomplex Leibniz Type Rule inthe Riemann-Liouville Sense

Resumen

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