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Closure theorems with applications to entire functions with gaps

Anderson, J.M.; Binmore, K.G.; (1971) Closure theorems with applications to entire functions with gaps. Transactions of the American Mathematical Society , 161 pp. 381-400. Green open access

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Abstract

In this paper we consider questions of completeness for spaces of continuous functions on a half line which satisfy appropriate growth conditions. The results obtained have consequences in the theory of entire functions with gap power series. In particular we show that, under an appropriate gap hypothesis, the rate of growth of an entire function in the whole plane is determined by its rate of growth along any given ray.

Type: Article
Title: Closure theorems with applications to entire functions with gaps
Open access status: An open access version is available from UCL Discovery
Publisher version: http://www.jstor.org/stable/1995948
Language: English
Additional information: First published in Transactions of the American Mathematical Society in volume 161, 1971, published by the American Mathematical Society. Available via JSTOR subscription.
UCL classification: UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Economics
URI: https://discovery.ucl.ac.uk/id/eprint/15580
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