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Saleem, M. A.; Abul-Ez, M.; Zayed, M.

On polynomial series expansions of Cliffordian functions. (English) Zbl 1254.30087

Math. Methods Appl. Sci. 35, No. 2, 134-143 (2012).
Summary: Classical results on the expansion of complex functions in a series of special polynomials (namely inverse similar sets of polynomials) are extended to the Clifford setting. This expansion is shown to be valid in closed balls.

Cited in 7 Documents

MSC:

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

Keywords:

Clifford analysis; similar bases; representation of monogenic functions
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\textit{M. A. Saleem} et al., Math. Methods Appl. Sci. 35, No. 2, 134--143 (2012; Zbl 1254.30087)
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