## Univalent Functions, Volume 1 |

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### Contents

THE INITIAL CONDITIONS | 1 |

CLOSETOCONVEX FUNCTIONS | 8 |

THE DEFINITION | 12 |

Copyright | |

14 other sections not shown

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### Common terms and phrases

apply assume boundary bounds called Chapter circle closed coefficients complex conjecture Consequently consider contained continuous Conversely convex course cover curve CV(a CV(i defined Definition derived described direction disk domain Equality occurs equation example extremal function Figure fixed formula func function f(z Further given gives half-plane Hence inequality integral interior Koebe function Lemma Let f(z maps means method normalized Note observe obtain omit origin plane Problem Proof Prove Prove Theorem radius real axis referred region regular replace representation result Robertson rotation sequence sharp sharp bounds Show simple starlike with respect subset suitable Suppose Suppose that f(z term Theorem tion transformation true univalent functions usual zero