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

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UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

G. S. Srivastava1|S. Kumar2   

  1. 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. 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:

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:

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.

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

中图分类号: 

  • 30B10