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http://hdl.handle.net/10773/15315
Title: | Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
Author: | Cação, Isabel Falcão, Maria Irene Malonek, Helmuth Robert |
Keywords: | Generalized Laguerre polynomials Exponential operators Functions of hypercomplex variables |
Issue Date: | Mar-2011 |
Publisher: | Elsevier |
Abstract: | Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable by using Clifford Algebras and provides the fundamentals of Clifford Analysis as a refinement of Harmonic Analysis in higher dimensions. We define the Laguerre derivative operator in hypercomplex context and by using operational techniques we construct generalized hypercomplex monogenic Laguerre polynomials. Moreover, Laguerre-type exponentials of order mm are defined. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15315 |
DOI: | 10.1016/j.mcm.2010.11.071 |
ISSN: | 0895-7177 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Cacao_Falcao_Malone_2011.pdf | final draft post-refereeing | 318.49 kB | Adobe PDF | View/Open |
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