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Lacunary entire functions

Published online by Cambridge University Press:  24 October 2008

A. C. Offord
A. C. Offord
Affiliation:
24A Norham Gardens, Oxford 0X2 6QD
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Abstract

It has been observed that lacunary functions and random functions often have many properties in common (cf. [5]). The present paper has the object of showing that lacunary entire functions behave in many respects like random entire functions. Both have the property of being large except in very small neighbourhoods of their zeros and these have a uniform angular distribution.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 67 - 83
Copyright
Copyright © Cambridge Philosophical Society 1993

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