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Hassan, G. F.

A note on the growth order of the inverse and product bases of special monogenic polynomials. (English) Zbl 1254.30084

Math. Methods Appl. Sci. 35, No. 3, 286-292 (2012).
Summary: The purpose of this paper is to generalize some theorems on the representation of certain classes of entire special monogenic functions by inverse and product bases of special monogenic polynomials. We derive bounds for the order of inverse and product bases. Some examples are given showing that the resulting bounds are attainable. Our results improve and generalize some known results in Clifford setting concerning the order of inverse and product bases.

Cited in 6 Documents

MSC:

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

Keywords:

bases of polynomials; special monogenic polynomials; approximation by polynomials
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\textit{G. F. Hassan}, Math. Methods Appl. Sci. 35, No. 3, 286--292 (2012; Zbl 1254.30084)
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