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Some elementary inequalities in function theory
Published online by Cambridge University Press: 31 October 2008
Extract
Let 0 < r < 1 and let f(z) be regular for |z| ≤ 1.
Then from Cauchy's integral
we have the inequality
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- Copyright © Edinburgh Mathematical Society 1945
References
1 It is sufficient in what follows f(z) is regular for |z| < 1 and if is bounded for 0 ≤ r < 1, but the simpler case adequately illustrates our arguments.
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