On generalized hypercomplex Laguerre-type exponentials and applications

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 w...

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Bibliographic Details
Published inComputational Science and Its Applications - ICCSA 2011 pp. 271 - 286
Main Authors Cação, Isabel, Falcão, Maria Irene, Malonek, Helmuth Robert
Format Conference Proceeding Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg 2011
SeriesLecture Notes in Computer Science
Subjects
Appell sequences
Exponential operators
Functions of hypercomplex variables
Hypercomplex Laguerre derivative
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ISBN3642219306
9783642219306
ISSN0302-9743
1611-3349
DOI10.1007/978-3-642-21931-3_22

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Summary: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.
ISBN:3642219306
9783642219306
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-642-21931-3_22