Current Topics in Analytic Function Theory

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.
Contents: Univalent Logharmonic Extensions onto the Unit Disk or onto an Annulus "(Z Abdulhadi & W Hengartner)"Hypergeometric Functions and Elliptic Integrals "(G D Anderson et al.)"A Certain Class of Caratheodory Functions Defined by Conditions on the Unit Circle "(J Fuka & Z J Jakubowski)"Recent Advances in the Theory of Zero Sets of the Bergman Spaces "(E A LeBlanc)"Spherical Linear Invariance and Uniform Local Spherical Convexity "(W C Ma & D Minda)"A Special Differential Subordination and Its Application to Univalency Conditions "(S S Miller & P T Mocanu)"On the Bernardi Integral Operator "(M Nunokawa & D K Thomas)"The Quasi-Hadamard Products of Certain Analytic Functions "(S Owa)"Analytic Solutions of a Class of Briot-Bouquet Differential Equations "(S Owa & H M Srivastava)"A Certain Class of Generalized Hypergeometric Functions Associated with the Hardy Space of Analytic Functions "(H M Srivastava)"On the Coefficients of the Univalent Functions of the Nevalinna Classes N1 and N2"(P G Todorov)"and other papers
Readership: Pure and applied mathematicians.