APPROXIMATION AND INTERPOLATION OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES ON ARBITRARY COMPACT SETS

Authors

  • G. S. Srivastava Department of Mathematics, Jaypee Institute of Information Technology A-10,Sector-62, Noida201309, Uttar Pradesh, India.
  • Susheel Kumar Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, India.

Keywords:

Entire function, Vandermonde determinant, Order, Type, Approximation errors, Interpolation errors

Abstract

In the present paper, we study the polynomial approximation of entire functions of several
complex variables. The characterizations of order and type of entire functions of several
complex variables have been obtained in terms of approximation and interpolation errors.

References

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approximation. Univ. Iagel. Acta Math., vol. 24, pp. 295-319.

Janik A. (1984b). On approximation of entire functions and generalized order. Univ. Iagel. Acta Math., vol.

, pp. 321-326.

Sheinov V. P. (1971). Transfinite diameter and some theorems of Polya in the case of several complex

variables. Siberian Mathematical Journal, vol. 12 (6), pp. 999-1004.

Winiarski T. (1973). Application of approximation and interpolation methods to the examination of entire

functions of

n

complex variables. Ann. Pol. Math., vol. 28, pp. 97-121.

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Published

2012-12-31

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