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On Explicit Bounds In Landau's Theorem
Published online by Cambridge University Press: 20 November 2018
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1. The theorem of Landau in question may be stated in the form that if the function F(Z) is regular for |Z| < 1 and does not take the values 0 and 1, while
F(Z) = a0 + a1Z + …
is its Taylor expansion about Z = 0, then |a1| has a bound depending only on a0. In fact |a1| has a bound depending only on |a0| and Hayman (1) gave the explicit bound
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- Copyright © Canadian Mathematical Society 1956
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