SOME REMARKS ON THE GENERALIZED ORDER AND GENERALIZED TYPE OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX MATRICES

被引:0
作者
Biswas, Tanmay [1 ]
Biswas, Chinmay [2 ]
Saha, Biswajit [3 ]
机构
[1] RN Tagore Rd PO Krishnagar, Ps Kotwali 741101, West Bengal, India
[2] Vidyasagar Coll Nabadwip, Dept Math Nabadwip, Nabadwip 741302, West Bengal, India
[3] Govt Gen Degree Coll, Dept Math, Nakashipara 741154, West Bengal, India
来源
OPERATORS AND MATRICES | 2023年 / 17卷 / 01期
关键词
Entire function of several complex matrices; generalized order; generalized type; matrix function; GROWTH;
D O I
10.7153/oam-2023-17-03
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main aim of this paper is to introduce the definitions of generalized order and generalized type of the entire function of several complex matrix variables in hyperspherical region and then study some of their properties. By considering the concepts of generalized order and generalized type, we will extend some results of Abul-Ez et al. [1].
引用
收藏
页码:33 / 49
页数:17
相关论文
共 26 条
[1]  
ABUL-EZ M., 2020, J FUNCT SPACE
[2]   On the Lower Order and Type of Entire Axially Monogenic Functions [J].
Abul-Ez, M. A. ;
De Almeida, R. .
RESULTS IN MATHEMATICS, 2013, 63 (3-4) :1257-1275
[3]  
[Anonymous], 1964, A Course of Higher Mathematics
[4]   On the growth type of entire monogenic functions [J].
Constales, D. ;
De Almeida, R. ;
Krausshar, R. S. .
ARCHIV DER MATHEMATIK, 2007, 88 (02) :153-163
[5]   On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy-Riemann system in Rn+1 [J].
Constales, D. ;
De Almeida, R. ;
Krausshar, R. S. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) :763-775
[6]   Applications of the maximum term and the central index in the asymptotic growth analysis of entire solutions to higher dimensional polynomial Cauchy-Riemann equations [J].
Constales, Denis ;
De Almeida, Regina ;
Krausshar, Rolf Soeren .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (03) :195-213
[7]   Basics on growth orders of polymonogenic functions [J].
De Almeida, R. ;
Krausshar, R. S. .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (11) :1480-1504
[8]  
GIL M., 2010, LOCALIZATION PERTURB
[9]  
GOLDBERG A. A., 1959, DOKL AKAD NAUK ARMYA, V29, P145
[10]  
Higham NJ, 2008, OTHER TITL APPL MATH, V104, P1, DOI 10.1137/1.9780898717778