The square root base of polynomials in Clifford analysis. (English) Zbl 1056.30048

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

Arch. Math. 80, No. 5, 486-495 (2003).

The authors continue their study of bases of special monogenic polynomials. In this paper they are interested in taking square roots of such bases which leads to a number of results under some additional conditions on associated infinite matrices the latter related essentially to the so-called algebraicness of those matrices.

Reviewer: Michael Shapiro (Mexico)

MSC:

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

Keywords:

Clifford analysis; base of polynomials; monogenic functions