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Title: Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis
Author: Vieira, Nelson
Keywords: Cauchy-Kovalevskaya extension theorem
Fractional Clifford analysis
Fractional monogenic polynomials
Fractional Dirac operator
Caputo derivatives
Issue Date: 2015
Publisher: Springer
Abstract: In this paper, we establish the fractional Cauchy-Kovalevskaya extension (FCK-extension) theorem for fractional monogenic functions defined on R^d. Based on this extension principle, fractional Fueter polynomials, forming a basis of the space of fractional spherical monogenics, i.e. fractional homogeneous polynomials, are introduced. We studied the connection between the FCK-extension of functions of the form x^\alpha P_l and the classical Gegenbauer polynomials. Finally we present two examples of FCK-extension.
Peer review: yes
DOI: 10.1007/s11785-014-0395-x
ISSN: 1661-8254
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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