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UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS
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摘要 In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors. In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2401-2410,共10页 数学物理学报(B辑英文版)
关键词 entire function generalized order generalized type approximation errors interpolation errors entire function generalized order generalized type approximation errors interpolation errors
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参考文献10

  • 1Ganti R, Srivastava G S. Approximation of entire functions of slow growth. General Math, 2006, 14(2): 65-82.
  • 2Goluzin G M. Geometric Theory of Functions of One Complex Variable. Moscow: Nauka, 1966.
  • 3Janik A. A characterization of the growth of analytic functions by means of polynomial approximation. Univ Iagel Acta Math, 1984, 24:295-319.
  • 4Janik A. On approximation of entire functions and generalized order. Univ Iagel Acta Math, 1984, 24: 321-326.
  • 5Kapoor G P, Nautiyal A. Polynomial approximation of an entire function of slow growth. J Approx Theory, 1981, 32:64-75.
  • 6Seremeta M N. On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion. Amer Math Soc Transl, 1970, 88(2): 291-301.
  • 7Shah S M. Polynomial approximation of an entire function and generalized order. J Approx Theory, 1977, 19:315-324.
  • 8Sbeinov V P. Transfinite diameter and some theorems of Polya in the case of several complex variables. Siberian Math J, 1971, 12(6): 999-1004.
  • 9Srivastava G S, Kumar S. Approximation of entire functions of slow growth on compact sets. Arch Math, 2009, 45(2): 137-146.
  • 10Winiarski T. Application of approximation and interpolation methods to the examination of entire func- tions of complex variables. Ann Pol Math, 1973, 28:97-121.

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