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ON THE GROWTH AND APPROXIMATION OF TRANSCENDENTAL ENTIRE FUNCTIONS ON ALGEBRAIC VARIETIES
Journal article   Peer reviewed

ON THE GROWTH AND APPROXIMATION OF TRANSCENDENTAL ENTIRE FUNCTIONS ON ALGEBRAIC VARIETIES

Devendra Kumar
International journal of analysis and applications, Vol.12(1), pp.22-29
01/08/2016

Abstract

Mathematics Physical Sciences Science & Technology
Let X be a complete intersection algebraic variety of codimension m > 1 in Cm+n. In this paper we characterized the classical growth parameters order and type for transcendental entire functions f is an element of circle plus(X), the space of holomorphic functions on the complete intersection algebraic variety X, in terms of the best polynomial approximation error in L-p-norm, 0 < p <= infinity, on a L - regular non-pluripolar compact subset K of Cm+n.

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