Shifted Generalized Pascal Matrices in the Context of Clifford Algebra-Valued Polynomial Sequences

  • Isabel Cação
  • Helmuth R. Malonek
  • Graça TomazEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10405)


The paper shows the role of shifted generalized Pascal matrices in a matrix representation of hypercomplex orthogonal Appell systems. It extends results obtained in previous works in the context of Appell sequences whose first term is a real constant to sequences whose initial term is a suitable chosen polynomial of n variables.


Shifted generalized Pascal matrix Generalized Appell polynomials Matrix representation 



This work was supported in part by the Portuguese Foundation for Science and Technology (“FCT-Fundação para a Ciência e Tecnologia”), through CIDMA-Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2013.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Isabel Cação
    • 1
  • Helmuth R. Malonek
    • 1
  • Graça Tomaz
    • 1
    • 2
    Email author
  1. 1.Centro de Investigação e Desenvolvimento em Matemática e AplicaçõesUniversidade de AveiroAveiroPortugal
  2. 2.Unidade de Investigação para o Desenvolvimento do InteriorInstituto Politécnico da GuardaGuardaPortugal

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