UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

doi:10.1016/S0252-9602(12)60188-X

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2401-2410.doi: 10.1016/S0252-9602(12)60188-X

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

G. S. Srivastava¹|S. Kumar²

1.Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India； 2.Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, India

收稿日期:2012-12-29 出版日期:2012-11-20 发布日期:2012-11-20

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

G. S. Srivastava¹|S. Kumar²

1.Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India； 2.Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, India

Received:2012-12-29 Online:2012-11-20 Published:2012-11-20

摘要/Abstract

摘要：

In the present paper, we study the polynomial approximation of entire func-tions of several complex variables. The characterizations of generalized order and gener-alized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.

关键词: entire function, generalized order, generalized type, approximation errors, interpolation errors

Abstract:

Key words: entire function, generalized order, generalized type, approximation errors, interpolation errors

中图分类号:

30B10

G. S. Srivastava, S. Kumar. UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS[J]. 数学物理学报(英文版), 2012, 32(6): 2401-2410.

G. S. Srivastava, S. Kumar. UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2401-2410.

[1]	Huifang Liu, Zhiqiang Mao. THE EXACT MEROMORPHIC SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS^*[J]. 数学物理学报(英文版), 2024, 44(1): 103-114.
[2]	Kuo-Shou CHIU. ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS[J]. 数学物理学报(英文版), 2018, 38(1): 220-236.
[3]	崔宁, 陈宗煊. ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS[J]. 数学物理学报(英文版), 2017, 37(3): 786-798.
[4]	王珺, 陈宗煊. LIMITING DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS TO COMPLEX DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(1): 97-107.
[5]	王珺, 陈宗煊. LIMITING DIRECTION AND BAKER WANDERING DOMAIN OF ENTIRE SOLUTIONS OF DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(5): 1331-1342.
[6]	霍颖莹\|孔荫莹. ON THE GENERALIZED ORDER OF DIRICHLET SERIES[J]. 数学物理学报(英文版), 2015, 35(1): 133-139.
[7]	高凌云. THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(3): 814-820.
[8]	崔巍巍, 杨连忠. ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2013, 33(3): 773-780.
[9]	林秀清, 林伟川. UNIQUENESS OF ENTIRE FUNCTIONS SHARING ONE VALUE[J]. 数学物理学报(英文版), 2011, 31(3): 1062-1076.
[10]	江良英; 陈宗煊. ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2008, 28(2): 393-400.
[11]	邓方文. NORMAL FAMILY OF COMPOSITIONS OF HOLOMORPHIC FUNCTIONS AND THEIR HIGH ORDER DERIVATIVES[J]. 数学物理学报(英文版), 2003, 23(4): 544-.
[12]	姚卫红. TWO ENTIRE FUNCTIONS SHARING FOUR SMALL FUNCTIONS IN THE SENSE OF Ek)(B, f) = Ek)(B, g)[J]. 数学物理学报(英文版), 2003, 23(1): 23-32.

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

Metrics

本文评价

推荐阅读 0