Generalized order of entire monogenic functions of slow growth

被引：7

作者：

Kumar, Susheel ^{[1
]}

Bala, Kirandeep ^{[1
]}

机构：

[1] Cent Univ Himachal Pradesh, Dept Math, Dharamshala 176215, India

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2012年 / 5卷 / 06期

关键词：

Clifford algebra; Clifford analysis; Generalized Cauchy-Riemann system; Entire monogenic function; Generalized order;

D O I：

10.22436/jnsa.005.06.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we study the generalized growth of entire monogenic functions having slow growth. The characterizations of generalized order of entire monogenic functions have been obtained in terms of their Taylor's series coefficients.

引用

页码：418 / 425

页数：8

共 4 条

[1] On the growth type of entire monogenic functions
Constales, D.
De Almeida, R.
Krausshar, R. S.
[J]. ARCHIV DER MATHEMATIK, 2007, 88 (02) : 153 - 163
[2] On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy-Riemann system in Rn+1
Constales, D.
De Almeida, R.
Krausshar, R. S.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 763 - 775
[3] POLYNOMIAL-APPROXIMATION OF AN ENTIRE FUNCTION OF SLOW GROWTH
KAPOOR, GP
NAUTIYAL, A
[J]. JOURNAL OF APPROXIMATION THEORY, 1981, 32 (01) : 64 - 75
[4] Sheremeta MM., 1970, AM MATH SOC TRANSL, V88, P291, DOI DOI 10.1090/TRANS2/088/11

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