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Exceptional sets with respect to order of integral functions of two variables

Published online by Cambridge University Press:  24 October 2008

Ronald Maude
Ronald Maude
Affiliation:
University College of WalesAberystwyth
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Extract

1. Introduction. The definition of the order of an integral function of one complex variable extends immediately to integral functions of several complex variables to give us their total order. In the case of integral functions of two complex variables, Lelong(5) has shown that the order on any analytic plane through the origin is equal to the total order except for an exceptional set of planes of exterior capacity 0 on which the order is less than the total order.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 2 , April 1957 , pp. 323 - 342
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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