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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.
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

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