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On Generalized Hypercomplex Laguerre-Type Exponentials and Applications

  • I. Cação
  • M. I. Falcão
  • H. R. Malonek
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6784)

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.

Keywords

Hypercomplex Laguerre derivative Appell sequences exponential operators functions of hypercomplex variables 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • I. Cação
    • 1
  • M. I. Falcão
    • 2
  • H. R. Malonek
    • 1
  1. 1.Departamento de MatemáticaUniversidade de AveiroPortugal
  2. 2.Departamento de Matemática e AplicaçõesUniversidade do MinhoPortugal

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