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Fractional Multicomplex Polynomials

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Abstract

In this paper we will investigate fractional analytic properties of multi-complex valued polynomials defined on \(\mathbb {BC}_n\) (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.

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Acknowledgements

The authors would like to thank the reviewers for the many useful comments which lead to improvements in the paper.

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Authors and Affiliations

  1. Escuela de Ciencias Físicas y Matemáticas, Facultad de Formación General, Universidad de Las Américas, Avenida de los Granados y Colimes, Quito, Ecuador

    Johan Ceballos

  2. Departamento de Matemáticas, Colegio de Ciencias e Ingenierías, Universidad San Francisco de Quito, Diego de Robles y vía Interoceánica, Quito, Ecuador

    Nicolás Coloma, Antonio Di Teodoro & Francisco Ponce

  3. Departamento de Tecnología, ATUK Consultoría Estratégica, Luis Pasteur y Copérnico, Cuenca, Ecuador

    Diego Ochoa-Tocachi

Authors
  1. Johan Ceballos
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  2. Nicolás Coloma
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  3. Antonio Di Teodoro
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  4. Diego Ochoa-Tocachi
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  5. Francisco Ponce
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Corresponding author

Correspondence to Antonio Di Teodoro.

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Communicated by Irene Sabadini.

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This article is part of the topical collection “Higher Dimensional Geometric Function Theory and Hypercomplex Analysis” edited by Irene Sabadini, Michael Shapiro and Daniele Struppa.

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Ceballos, J., Coloma, N., Di Teodoro, A. et al. Fractional Multicomplex Polynomials. Complex Anal. Oper. Theory 16, 60 (2022). https://doi.org/10.1007/s11785-022-01237-4

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  • DOI: https://doi.org/10.1007/s11785-022-01237-4

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