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On Approximation and Generalized Type of Entire Functions of Several Complex Variables

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized type of entire functions of several complex variables have been obtained in terms of approximation and interpolation errors.
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  • 4
520-531
  • English

REFERENCES

References: 

[1] Adam Janik, On approximation and interpolation of entire functions, Zeszyty Naukowe
Universtytetu Jagiellonskiego, 22 (1981), 173-188.
[2] Adam Janik, A characterization of the growth of analytic functions by means of polynomial
approximation, Univ. Iagel. Acta Math., 24 (1984), 295-319.
[3] Adam Janik, On approximation of entire functions and generalized order, Univ. Iagel.
Acta Math., 24 (1984), 321-326.
REFERENCES 531
[4] M. N. Seremeta, 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., 88 (2) (1970), 291-301.
[5] S. M. Shah, Polynomial approximation of an entire function and generalized order, J.
Approx. Theory, 19 (1977), 315-324.
[6] T. Winiarski, Application of approximation and interpolation methods to the examination
of entire functions of n complex variables, Ann. Pol. Math, 28 (1973), 97-121.

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