On the growth type of entire monogenic functions

被引：17

作者：

Constales, D.

De Almeida, R.

Krausshar, R. S.

机构：

[1] Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium

[2] Univ Tras Os Montes & Alto Douro, Dept Matemat, P-5000911 Vila Real, Portugal

[3] Katholieke Univ Leuven, Dept Math, Sect Anal, B-3001 Heverlee, Belgium

来源：

ARCHIV DER MATHEMATIK | 2007年 / 88卷 / 02期

关键词：

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

D O I：

10.1007/s00013-006-1790-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish an explicit relation between the growth type of general entire solutions to the generalized Cauchy-Riemann system in Rn+1 and their Taylor coefficients. This formula then enables us to compute the growth type of some higher dimensional generalizations of the trigonometric and special functions that are null-solutions to this system.

引用

页码：153 / 163

页数：11

共 20 条

[1]

Abul-Ez M., 1990, Complex Var, V14, P177

[2] On the order of basic series representing Clifford valued functions [J].