Current Topics in Analytic Function Theory

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World Scientific, 1992 - Mathematics - 456 pages
This 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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