Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/14436

TitleLaguerre derivative and monogenic Laguerre polynomials : an operational approach
Author(s)Cação, I.
Falcão, M. I.
Malonek, H. R.
KeywordsGeneralized Laguerre polynomials
Exponential operators
Functions of hypercomplex variables
Issue dateMar-2011
PublisherElsevier
JournalMathematical and Computer Modelling
Abstract(s)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 $m$ are defined.
TypeArticle
URIhttp://hdl.handle.net/1822/14436
DOI10.1016/j.mcm.2010.11.071
ISSN0895-7177
Publisher versionhttp://dx.doi.org/10.1016/j.mcm.2010.11.071
Peer-Reviewedyes
AccessOpen access
Appears in Collections:DMA - Artigos (Papers)

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