## Current Topics in Analytic Function TheoryThis volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju. |

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### Contents

Preface | 1 |

Constraint Coefficient Problems for Subclasses of Univalent | 29 |

Hypergeometric Functions and Elliptic Integrals | 48 |

Some New Criteria for Meromorphically pValent Starlike Functions | 86 |

Some Properties of Analytic Functions of Koebe Type | 106 |

Univalence Domains | 130 |

A Certain Class of Multivalent Functions | 305 |

Convex Subfamilies of Schwarz Functions | 323 |

A Certain Class of Generalized Hypergeometric Functions | 337 |

On the Coefficients of the Univalent Functions of | 363 |

T Yaguchi | 386 |

The Distortion Function OK and Quasihomographies | 403 |

The Class Sp of Meromorphic Univalent Functions | 429 |

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Amer analytic functions Applications authors belongs boundary bounded called class of functions closed coefficients complex condition consider constant contains continuous convex Corollary decreasing defined Definition denote Department of Mathematics derivative equality equivalent estimates example exists extremal fact fixed fractional function f(z Further give given Hence holds holomorphic hyperbolic identity implies inequality integral integral operator Introduction Julia set Lemma linear invariance locally mapping Math meromorphic functions Miller Mocanu normal obtain particular plane positive possible present problem Proc Proof proof of Theorem properties prove radius References region Remark respectively result result is sharp satisfies sharp solution space spherically convex Srivastava starlike strictly increasing studied subclass subordination Suppose Theorem theory transformation unit disk univalent functions University values yields York