The square root base of polynomials in Clifford analysis

DOI10.1007/S00013-003-0490-0zbMath1056.30048OpenAlexW2023513875MaRDI QIDQ1411076

M. A. Abul-Ez, Denis Constales

Publication date: 16 October 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0490-0

zbMATH Keywords

Clifford analysismonogenic functionsbase of polynomials

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation by polynomials (41A10)

Related Items (9)

Generalized derivative and primitive of Cliffordian bases of polynomials constructed through Appell monomials ⋮ Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases ⋮ Basic sets of special monogenic polynomials in Fréchet modules ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis ⋮ Generalized Hadamard product bases of special monogenic polynomials ⋮ Orthogonal Appell systems of monogenic functions in the cylinder ⋮ Hypercomplex derivative bases of polynomials in Clifford analysis ⋮ A note on the growth order of the inverse and product bases of special monogenic polynomials ⋮ Bernoulli and Euler polynomials in Clifford analysis

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