Basics on growth orders of polymonogenic functions

被引：6
作者：
De Almeida, R. [1 ]
Krausshar, R. S. [2 ]
机构：
[1] Univ Tras Os Montes & Alto Douro, Sch Sci & Technol, Dept Math, UTAD, P-5000801 Vila Real, Portugal
[2] Univ Erfurt, Fachgebiet Math, Erziehungswissensch Fak, Nordhauser Str 63, D-99089 Erfurt, Germany
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 11期
关键词：
iterated generalized Cauchy-Riemann equations; polymonogenic functions; asymptotic growth behaviour of generalized analytic functions; growth orders; growth type; ENTIRE MONOGENIC FUNCTIONS; CAUCHY-RIEMANN EQUATIONS; ASYMPTOTIC GROWTH; ITERATED DIRAC; SERIES;
D O I：
10.1080/17476933.2015.1031121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce generalizations of the classical growth order and the growth type of analytic functions in the context of polymonogenic functions. Polymonogenic functions are null-solutions of higher integer order iterates of a generalized higher dimensional Cauchy-Riemann operator. One of the main goals is to prove generalizations of the famous Lindelof-Pringsheim theorem linking explicitly these growth orders and growth types with the Taylor series coefficients in the context of this function class.
引用
收藏
页码：1480 / 1504
页数：25
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