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Abul-Ez, M. A.; Constales, D.

On the order of basic series representing Clifford valued functions. (English) Zbl 1058.30040

Appl. Math. Comput. 142, No. 2-3, 575-584 (2003).
The authors introduced in Complex Variables, Theory Appl. 14, 177–185 (1985; Zbl 0663.41009) special sets of polynomials, spanned by expressions of the form \(\text{ol}\,{x}^ix^j\). Under some growth conditions the related basic set of polynomials is called a Cannon set. Using this Cannon set some theorems on the growth of entire monogenic functions in Clifford analysis are proved.
Reviewer: Klaus Habetha (Aachen)

Cited in 14 Documents

MSC:

30G35 Functions of hypercomplex variables and generalized variables
30C10 Polynomials and rational functions of one complex variable
30D15 Special classes of entire functions of one complex variable and growth estimates

Keywords:

Clifford analysis; Cannon basis; order of entire functions; special polynomials

Citations:

Zbl 0663.41009
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\textit{M. A. Abul-Ez} and \textit{D. Constales}, Appl. Math. Comput. 142, No. 2--3, 575--584 (2003; Zbl 1058.30040)
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References:

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