On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties

Kumar, Devendra

Research Article

On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties

Devendra Kumar¹

M.M.H.College

Abstract

Let X be a complete intersection algebraic variety of codimension m > 1 in Cm+n. Inthis paper we characterized the classical growth parameters order and type for transcendental entire functions f ∈ ⊕(X), the space of holomorphic functions on the complete intersection algebraic variety X, in terms of the best polynomial approximation error in Lp-norm, 0 < p ≤ ∞, on a L - regular non-pluripolar compact subset K of Cm+n.

How to Cite

D. Kumar, On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties, Int. J. Anal. Appl. 12 (2016), 22–29.

BibTeX

@article{Kumar2016,
  author  = {Kumar, Devendra},
  title   = {On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties},
  journal = {Int. J. Anal. Appl.},
  volume  = {12},
  year    = {2016},
  pages   = {22--29},
  doi     = {}
}

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