Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/14531
 Title: Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis Author: Vieira, Nelson Keywords: Cauchy-Kovalevskaya extension theoremFractional Clifford analysisFractional monogenic polynomialsFractional Dirac operatorCaputo 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 URI: http://hdl.handle.net/10773/14531 DOI: 10.1007/s11785-014-0395-x ISSN: 1661-8254 Appears in Collections: CIDMA - ArtigosCHAG - Artigos

Files in This Item:
File Description SizeFormat