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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
DOI: 10.1016/j.mcm.2010.11.071
ISSN: 0895-7177
Appears in Collections:CIDMA - Artigos

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