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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
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.
Publisher version
AccessOpen access
Appears in Collections:DMA - Artigos (Papers)

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