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

^*Corresponding author for this work

Matemáticas

ATUK
Universidad San Francisco de Quito

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

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.

Original language	English
Pages (from-to)	103-139
Number of pages	37
Journal	Bulletin of Computational Applied Mathematics
Volume	11
Issue number	1
State	Published - 2023

Keywords

Fractional Cauchy-Riemann operator
Leibniz type rule
bicomplex algebra
fractional bicomplex functions
weighted Cauchy-Riemann operator

Cite this

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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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T1 - Fractional Bicomplex Leibniz Type Rule inthe Riemann-Liouville Sense

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

Abstract

Keywords

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