On the growth type of entire monogenic functions. (English) Zbl 1109.30040

Constales, D.; De Almeida, R.; Krausshar, R. S.

Arch. Math. 88, No. 2, 153-163 (2007).

This is a continuation of the study of the behavior of entire monogenic functions of Clifford analysis, i.e., null-solutions of the Cliffordian Cauchy-Riemann operator. There is established an explicit relation between the growth type of monogenic functions and their Taylor coefficients. The obtained formula enables the authors to compute the growth type of some monogenic generalizations of the trigonometric and special functions.

Reviewer: Michael Shapiro (Mexico)

MSC:

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

Keywords:

Generalized Cauchy-Riemann systems; entire monogenic functions; growth type; special functions; generalized trigonometric functions