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The characterization of orders for regular functions

Published online by Cambridge University Press:  24 October 2008

C. N. Linden
C. N. Linden
Affiliation:
Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 SPP, Wales
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Extract

For a given function f, regular in the unit disk D(0, 1), logarithmic means of order p may be defined in terms of integrals by the formulae

for 0 < p < , and by

when 0 < r < 1. Associated p-orders are subsequently defined by

for 0 < p .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 299 - 307
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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