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Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in \(\mathbb {R}^{n+1}\)

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Computational Science and Its Applications – ICCSA 2022 Workshops (ICCSA 2022)

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Abstract

The paper is focused on intrinsic properties of a one-parameter family of non-symmetric number triangles \(\mathcal {T}(n),\;n \ge 2,\) which arises in the construction of hyperholomorphic Appell polynomials.

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Acknowledgement

This work was supported by Portuguese funds through the CMAT – Research Centre of Mathematics of University of Minho – and through the CIDMA – Center of Research and Development in Mathematics and Applications (University of Aveiro) – and the Portuguese Foundation for Science and Technology (“FCT – Fundação para a Ciência e Tecnologia”), within projects UIDB/00013/2020, UIDP/00013/2020, UIDB/04106/2020, and UIDP/04106/2020.

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Authors and Affiliations

  1. CIDMA, Universidade de Aveiro, Aveiro, Portugal

    Isabel Cação, Helmuth R. Malonek & Graça Tomaz

  2. CMAT, Universidade do Minho, Braga, Portugal

    M. Irene Falcão

  3. Instituto Politécnico da Guarda, Guarda, Portugal

    Graça Tomaz

Authors
  1. Isabel Cação
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  2. M. Irene Falcão
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  3. Helmuth R. Malonek
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  4. Graça Tomaz
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Corresponding author

Correspondence to Graça Tomaz .

Editor information

Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Østfold University College, Halden, Norway

    Sanjay Misra

  4. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  5. University of Cagliari, Cagliari, Italy

    Chiara Garau

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Cação, I., Falcão, M.I., Malonek, H.R., Tomaz, G. (2022). Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in \(\mathbb {R}^{n+1}\). In: Gervasi, O., Murgante, B., Misra, S., Rocha, A.M.A.C., Garau, C. (eds) Computational Science and Its Applications – ICCSA 2022 Workshops. ICCSA 2022. Lecture Notes in Computer Science, vol 13377. Springer, Cham. https://doi.org/10.1007/978-3-031-10536-4_28

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  • DOI: https://doi.org/10.1007/978-3-031-10536-4_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-10535-7

  • Online ISBN: 978-3-031-10536-4

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