Fractional Multicomplex Polynomials

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 th...

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Bibliographic Details
Published in:Complex analysis and operator theory 2022-06, Vol.16 (4), Article 60
Main Authors: Ceballos, Johan, Coloma, Nicolás, Di Teodoro, Antonio, Ochoa-Tocachi, Diego, Ponce, Francisco
Format: Article
Language:English
Subjects:
Analysis
Higher Dimensional Geometric Function Theory and Hypercomplex Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Operator Theory
Polynomials
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Summary: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01237-4