A coefficient inequality for Bloch functions with applications to uniformly locally univalent functions |
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| Authors: | Toshiyuki Sugawa and Takao Terada |
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| Abstract: | We give a Fekete-Szeg? type inequality for an analytic function on the unit disk with Bloch seminorm ≤1. As an application
of it, we derive a sharp inequality for the third coefficient of a uniformly locally univalent function f(z) = z + a
2
z
2 + a
3
z
3 + ⋯ on the unit disk with pre-Schwarzian norm ≤λ for a given λ > 0. |
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| Keywords: | |
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