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On Explicit Bounds In Schottky's Theorem

Published online by Cambridge University Press:  20 November 2018

J. A. Jenkins
J. A. Jenkins*
Affiliation:
University of Notre Dame
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1. Introduction. To Schottky is due the theorem which states that a function F(Z), regular and not taking the values 0 and 1 in |Z| < 1 and for which F(0) = a0, is bounded in absolute value in |Z| ≤ r, 0 ≤ r < 1, by a number depending only on a0 and r. Let K(a0 r) denote the best possible bound in this result. Various authors have dealt with the problem of giving an explicit estimate for this bound.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 76 - 82
Copyright
Copyright © Canadian Mathematical Society 1955

References

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