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ArticleOriginal scientific text

Title

On approximation of analytic functions and generalized orders

Authors 1

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

A characterization of a generalized order of analytic functions of several complex variables by means of polynomial approximation and interpolation is established.

Bibliography

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  2. A. Janik, On approximation of entire functions and generalized orders, ibid., 321-326.
  3. O. P. Juneja and G. P. Kapoor, Analytic Functions--Growth Aspects, Res. Notes in Math. 104, Pitman, Boston 1985.
  4. M. N. Sheremeta, On the connection between the growth of a function analytic in a disc and moduli of the coefficients of its Taylor series, Visnik L'viv. Derzh. Univ. Ser. Mekh.-Mat. 2 (1965), 101-110 (in Ukrainian).
  5. J. Siciak, On some extremal functions and their applications in the theory of analytic functions of several complex variables, Trans. Amer. Math. Soc. 105 (1962), 322-357.
  6. J. Siciak, Extremal plurisubharmonic functions in ℂN, in: Proc. First Finnish-Polish Summer School in Complex Analysis at Podlesice (Łódź 1977), University of Łódź, 115-152.
  7. T. Winiarski, Application of approximation and interpolation methods to the examination of entire functions of n complex variables, Ann. Polon. Math. 28 (1973), 97-121.
Annales Polonici Mathematici
1991/55/1
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Pages:
163-167
Main language of publication
English
Received
1990-09-10
Published
1991
Exact and natural sciences