Computational Methods and Function Theory

, Volume 12, Issue 2, pp 501–515 | Cite as

Generalized Derivative and Primitive of Cliffordian Bases of Polynomials Constructed Through Appell Monomials

  • Mohra ZayedEmail author
  • Mahmoud Abul-Ez
  • João Pedro Morais


In the present paper the authors treat two different problems. They start by answering the question posed in [5] concerning the structure of derivative bases, then investigate the convergence properties (the effectiveness) of the generalized derivative and primitive of a given base of polynomials with values in a Clifford algebra. Finally, they study the mode of increase of such derivatives and primitive bases.


special monogenic polynomials effectiveness mode of increase 

2000 MSC

30G35 41A10 


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Copyright information

© Heldermann  Verlag 2012

Authors and Affiliations

  • Mohra Zayed
    • 1
    Email author
  • Mahmoud Abul-Ez
    • 2
  • João Pedro Morais
    • 3
  1. 1.Department of MathematicsKing Khalid UniversityAbhaSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceSohag UniversitySohagEgypt
  3. 3.Institute of Applied AnalysisFreiberg University of Mining and TechnologyFreibergGermany

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