Hypercomplex derivative bases of polynomials in Clifford analysis. (English) Zbl 1182.30080

Aloui, L.; Hassan, G. F.

Math. Methods Appl. Sci. 33, No. 3, 350-357 (2010).

Summary: Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting.

MSC:

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

Keywords:

Clifford analysis; hypercomplex derivative; bases of polynomials; approximation by polynomials

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