Fractional elementary bicomplex functions in the Riemann-Liouville sense
type: Item
instance of: scholarly article
title: Fractional elementary bicomplex functions in the Riemann-Liouville sense
zbMATH Open document ID: 1480.30036
author: Yanyan Li
published in: Advances in Applied Clifford Algebras
publication date: 2021-08-24T00:00:00Z
review text: The authors introduce a fractional bicomplex calculus in the Riemann-Liouville sense. This approach is based on a modification of the Cauchy-Riemann operator using the one-dimensional Riemann-Liouville derivative in each direction of the bicomplex basis. Elementary functions such as analytic polynomials, exponentials, trigonometric functions are defined and some of their properties are discussed. Furthermore, the fractional bicomplex Laplace operator connected with the fractional Cauchy-Riemann operator is presented.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7384729
zbMATH Keywords: fractional bicomplex numbers
zbMATH Keywords: fractional analytic functions
zbMATH Keywords: fractional Cauchy-Riemann operator
zbMATH Keywords: fractional bicomplex functions
reviewed by: Peter Massopust
MaRDI profile type: Publication
full work available at URL: s00006-021-01165-0
OpenAlex ID: W3193064517
Wikidata QID: Q114232375
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DOI: 10.1007/S00006-021-01165-0
description: scientific article; zbMATH DE number 7384729