Linear substitution for basic sets of polynomials in Clifford analysis. (English) Zbl 0737.30029

A polynomial defined in a Clifford algebra over \(R^ m\) is called special if it is a finite sum of terms \(\bar x^ i x^ j a_{ij}\) where \(x\) is the variable in \(R^{m+1}\) and \(a_{ij}\) are constants in the Clifford algebra. A monogenic or regular function is called special if its Taylor series is build up by special polynomials. For entire special monogenic functions order and type are defined as in complex analysis and some properties are proved, for example a linear transformation of the variable \(ax+b\) does not affect the order but the type.
Reviewer: K.Habetha (Aachen)


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