Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15985
Title: | Clifford-Hermite polynomials in fractional Clifford analysis |
Author: | Cerejeiras, Paula Vieira, Nelson Felipe Loureiro |
Keywords: | Clifford analysis Hermite polynomials Fractional Calculus Riemann-Liouville fractional derivatives Fractional Dirac operator |
Issue Date: | 1-Aug-2016 |
Publisher: | Birkhäuser |
Abstract: | In this paper we generalize radial and standard Clifford-Hermite polynomials to the new framework of fractional Clifford analysis with respect to the Riemann-Liouville derivative in a symbolic way. As main consequence of this approach, one does not require an a priori integration theory. Basic properties such as orthogonality relations, differential equations, and recursion formulas, are proven. |
URI: | http://hdl.handle.net/10773/15985 |
DOI: | 10.1007/978-3-319-29116-1_5 |
ISBN: | 978-3-319-29114-7 |
Appears in Collections: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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artigo40_VF.pdf | Documento principal | 335.92 kB | Adobe PDF | View/Open |
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