Current Topics In Analytic Function TheoryShigeyoshi Owa, Hari M Srivastava World Scientific, 1992¦~12¤ë31¤é - 472 ¶ 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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... univalent logharmonic mapping defined on the unit disk. An analogous result holds also for ring domains. 1. Introduction In 1926 H.Kneser [7] has shown the following result: Theorem A. Let ft be a bounded simply-connected Jordan domain ...
... univalent logharmonic mapping defined on the unit disk. An analogous result holds also for ring domains. 1. Introduction In 1926 H.Kneser [7] has shown the following result: Theorem A. Let ft be a bounded simply-connected Jordan domain ...
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... function h and an anti-analytic function g, i.e., / = h + ~g. Composing / with the post-mapping ew ... functions in a neighbourhood of z0 (see [1]). Suppose now that a solution / of (2) vanishes at z = 0. Since we are interested in univalent ...
... function h and an anti-analytic function g, i.e., / = h + ~g. Composing / with the post-mapping ew ... functions in a neighbourhood of z0 (see [1]). Suppose now that a solution / of (2) vanishes at z = 0. Since we are interested in univalent ...
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... function defined on dD.We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that /* is a continuous univalent ...
... function defined on dD.We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that /* is a continuous univalent ...
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... univalent on D and f(D) = Q if and only if |a| < 1 on U. Proof. (a) Suppose first that D = U and that Q is simply-connected. Let f be univalent on U. Then |a|{2) # 1 for all 2 £á U. Hence, either |a| > 1 or |a| < 1 on U. The first case ...
... univalent on D and f(D) = Q if and only if |a| < 1 on U. Proof. (a) Suppose first that D = U and that Q is simply-connected. Let f be univalent on U. Then |a|{2) # 1 for all 2 £á U. Hence, either |a| > 1 or |a| < 1 on U. The first case ...
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... univalence of / in Theorem 1 does not use the property that /* is a homeomorphism, but rather the facts that d arg /* > 0 on dU and that /* winds once around. Therefore, we conclude that / is univalent on U. Finally, the property f(U) ...
... univalence of / in Theorem 1 does not use the property that /* is a homeomorphism, but rather the facts that d arg /* > 0 on dU and that /* winds once around. Therefore, we conclude that / is univalent on U. Finally, the property f(U) ...
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