On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices

被引：4

作者：

Abul-Ez, M. ^{[1
]}

Abd-Elmageed, H. ^{[2
]}

Hidan, M. ^{[3
]}

Abdalla, M. ^{[2
,3
]}

机构：

[1] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt

[2] South Valley Univ, Dept Math, Fac Sci, Qena 83523, Egypt

[3] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

D O I：

10.1155/2020/4027529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions. The obtained formulas enable us to compute the growth order and the growth type of some higher dimensional generalizations of the exponential, trigonometric, and some special FSCMVs which are analytic in some extended hyperspherical domains. Furthermore, a result concerning linear substitution of the mode of increase of FSCMVs is given.

引用

页数：9

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