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Title: On generalized hypercomplex Laguerre-type exponentials and applications
Author: Cação, Isabel
Falcão, Maria Irene
Malonek, Helmuth Robert
Keywords: Hypercomplex Laguerre derivative
Appell sequences
Exponential operators
Functions of hypercomplex variables
Issue Date: 2011
Publisher: Springer Berlin Heidelberg
Abstract: In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbolic functions.
Peer review: yes
DOI: 10.1007/978-3-642-21931-3_22
ISBN: 978-3-642-21930-6
ISSN: 0302-9743
Appears in Collections:CIDMA - Comunicações

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