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A Remark on Small Values of Entire Functions

Published online by Cambridge University Press:  20 January 2009

S. L. Segal
S. L. Segal
Affiliation:
University of Rochester, Rochester, N.Y.
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Let f(z) be an entire function, M(r) the maximum of f(z) on ∣z∣=r, and λ>1. Let Eλ=Eλ(f{z:log∣f(z)≦(1-λ)log(M∣z∣)}, and denote the density of Eλby

where m is planar measure.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 2 , December 1966 , pp. 121 - 123
Copyright
Copyright © Edinburgh Mathematical Society 1966

References

REFERENCES

(1) Boas, R. P. Jr., Fundamental sets of entire functions, Annals of Math. 47 (1946), 21–32.Google Scholar
(2) Boas, R. P. Jr., Entire Functions (Academic Press, New York, 1954).Google Scholar
(3) Boas, R. P. Jr., Buck, R. C. and Erdõs, P., The set on which an entire function is small, Amer. J. Math. 70 (1948), 400–402.CrossRefGoogle Scholar