Lacunary entire functions

Lacunary entire functions

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 smal...

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1993-07, Vol.114 (1), p.67-83
1. Verfasser: Offord, A. C.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Zusammenfassung: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100071413