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On Generalized Hypercomplex Laguerre-Type Exponentials and Applications

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Computational Science and Its Applications - ICCSA 2011 (ICCSA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6784))

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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.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade de Aveiro, Portugal

    I. Cação & H. R. Malonek

  2. Departamento de Matemática e Aplicações, Universidade do Minho, Portugal

    M. I. Falcão

Authors
  1. I. Cação
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  2. M. I. Falcão
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  3. H. R. Malonek
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Editor information

Editors and Affiliations

  1. L.I.S.U.T. - D.A.P.I.T., Basilicata University Potenza, 10, Viale dell’Ateneo Lucano, 85100, Potenza, Italy

    Beniamino Murgante

  2. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  3. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, C.P. 39005, Santander, Spain

    Andrés Iglesias

  4. School of Business Systems, Monash University, 3800, Clayton, VIC, Australia

    David Taniar

  5. Department of Intelligent Informatics, Kyushu Sangyo University, 2-3-1 Matsukadai, Higashi-ku, 813-8503, Fukuoka, Japan

    Bernady O. Apduhan

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© 2011 Springer-Verlag Berlin Heidelberg

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Cação, I., Falcão, M.I., Malonek, H.R. (2011). On Generalized Hypercomplex Laguerre-Type Exponentials and Applications. In: Murgante, B., Gervasi, O., Iglesias, A., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications - ICCSA 2011. ICCSA 2011. Lecture Notes in Computer Science, vol 6784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21931-3_22

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  • DOI: https://doi.org/10.1007/978-3-642-21931-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21930-6

  • Online ISBN: 978-3-642-21931-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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