Fractional Multicomplex Polynomials

Johan Ceballos; Nicolás Coloma; Antonio Di Teodoro; Diego Ochoa-Tocachi; Francisco Ponce

doi:10.1007/s11785-022-01237-4

Fractional Multicomplex Polynomials

Johan Ceballos
, Nicolás Coloma
, Antonio Di Teodoro^*
, Diego Ochoa-Tocachi
, Francisco Ponce

^*Corresponding author for this work

Matemáticas

Universidad de las Americas - Ecuador
ATUK Consultoría Estratégica

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

13 Scopus citations

Abstract

In this paper we will investigate fractional analytic properties of multi-complex valued polynomials defined on BC_n (the space of multicomplex numbers refers to the space generated over the reals by n commuting imaginary units) using a modification of the Cauchy–Riemann operator that substitutes the classical partial derivative for a fractional derivative.

Original language	English
Article number	60
Journal	Complex Analysis and Operator Theory
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s11785-022-01237-4
State	Published - Jun 2022

Keywords

Fractional Cauchy–Riemann operator
Fractional analytic functions
Fractional bicomplex functions
Multicomplex numbers
Multicomplex valued polynomials

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10.1007/s11785-022-01237-4

Cite this

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title = "Fractional Multicomplex Polynomials",

abstract = "In this paper we will investigate fractional analytic properties of multi-complex valued polynomials defined on BCn (the space of multicomplex numbers refers to the space generated over the reals by n commuting imaginary units) using a modification of the Cauchy–Riemann operator that substitutes the classical partial derivative for a fractional derivative.",

keywords = "Fractional Cauchy–Riemann operator, Fractional analytic functions, Fractional bicomplex functions, Multicomplex numbers, Multicomplex valued polynomials",

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

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doi = "10.1007/s11785-022-01237-4",

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T1 - Fractional Multicomplex Polynomials

AU - Ceballos, Johan

AU - Coloma, Nicolás

AU - Di Teodoro, Antonio

AU - Ochoa-Tocachi, Diego

AU - Ponce, Francisco

PY - 2022/6

Y1 - 2022/6

N2 - In this paper we will investigate fractional analytic properties of multi-complex valued polynomials defined on BCn (the space of multicomplex numbers refers to the space generated over the reals by n commuting imaginary units) using a modification of the Cauchy–Riemann operator that substitutes the classical partial derivative for a fractional derivative.

AB - In this paper we will investigate fractional analytic properties of multi-complex valued polynomials defined on BCn (the space of multicomplex numbers refers to the space generated over the reals by n commuting imaginary units) using a modification of the Cauchy–Riemann operator that substitutes the classical partial derivative for a fractional derivative.

KW - Fractional Cauchy–Riemann operator

KW - Fractional analytic functions

KW - Fractional bicomplex functions

KW - Multicomplex numbers

KW - Multicomplex valued polynomials

UR - https://www.scopus.com/pages/publications/85132627271

U2 - 10.1007/s11785-022-01237-4

DO - 10.1007/s11785-022-01237-4

M3 - Artículo

AN - SCOPUS:85132627271

SN - 1661-8254

VL - 16

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 4

M1 - 60

ER -

Fractional Multicomplex Polynomials

Abstract

Keywords

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