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Measures of Growth and Approximation of Analytic Functions in Several Complex Variables

Published on September 2016 by Vandna Jain, Devendra Kumar
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International Conference on Advances in Emerging Technology
Foundation of Computer Science USA
ICAET2016 - Number 6
September 2016
Authors: Vandna Jain, Devendra Kumar
ffc29518-1c2c-4b13-8b17-98861cbad537

Vandna Jain, Devendra Kumar . Measures of Growth and Approximation of Analytic Functions in Several Complex Variables. International Conference on Advances in Emerging Technology. ICAET2016, 6 (September 2016), 6-12.

@article{
author = { Vandna Jain, Devendra Kumar },
title = { Measures of Growth and Approximation of Analytic Functions in Several Complex Variables },
journal = { International Conference on Advances in Emerging Technology },
issue_date = { September 2016 },
volume = { ICAET2016 },
number = { 6 },
month = { September },
year = { 2016 },
issn = 0975-8887,
pages = { 6-12 },
numpages = 7,
url = { /proceedings/icaet2016/number6/25911-t083/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Advances in Emerging Technology
%A Vandna Jain
%A Devendra Kumar
%T Measures of Growth and Approximation of Analytic Functions in Several Complex Variables
%J International Conference on Advances in Emerging Technology
%@ 0975-8887
%V ICAET2016
%N 6
%P 6-12
%D 2016
%I International Journal of Computer Applications
Abstract

Winiarski [5] has studied the rates of decay of Lagrange interpolation error for entire functions in several complex variables. These results do not give any information about the rates of decay of above error when function is not necessarily entire. In this paper the authors have worked out this problem.

References
  1. Cartan, H. and Thullen, P. , Zur Theorie der Singularitaten der Funktion en mehrerer Veranderlichen, Regularitats-und Konvergenzbereiche, Math. Ann. 106 (1932), 617-647.
  2. Sieiak, J. , On some extremal functions and their applications in the theory of analytic functions of several complex variables, Trans. Amer. Math. Soc. 105 322-357,(1962).
  3. Markushevich, Theory of Functions of a Complex Variable, III, Prentice-Hall, Inc. , Englewood Cliffs, N. J. , (1967).
  4. Smirnov, V. I. and Lebedev, N. A. , Functions of a Complex Variable, Constructive Theory, M. I. T. Press, Mass. , U. S. A. , (1968).
  5. Winiarski, T. N. , Application of approximation and interpolation methods to the examination of entire functions of n Complex Variables, Ann. Polon. Math. 28, 97-121,(1973),.
  6. Juneja, O. P. and Kapoor, G. P. , Analytic functions-growth aspects, Research Notes in Mathematics, Pitman Advanced Publishing Program Boston-London-Melbourne, (1985).
  7. Sanjib Kumar Dutta, Tanmay Biswas and Debasmita Dutta, Relative order concerning entire functions of several complex variables, Palestine Journal of Mathematics, Vol. 5(1) (2016), 98- 104.
Index Terms

Computer Science
Information Sciences

Keywords

Holomorphically Convex Domain Lagrange Interpolation Polynomial Domain Of Holomorphy Faber Polynomials Polydisc Polyradius