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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第 1 到 5 筆結果，共 24 筆
第 頁
CONTENTS Preface v Univalent Logharmonic Extensions onto the Unit Disk or onto an Annulus 1 Z. Abdulhadi and W. ... Families of Univalent and Starlike Integral Operators Y. C. Kim, K. S. Lee and H. M. Srivastava Univalence Domains S. H. ...
CONTENTS Preface v Univalent Logharmonic Extensions onto the Unit Disk or onto an Annulus 1 Z. Abdulhadi and W. ... Families of Univalent and Starlike Integral Operators Y. C. Kim, K. S. Lee and H. M. Srivastava Univalence Domains S. H. ...
第 1 頁
... W. Hengartner We show that each homeomorphism from the unit circle onto the unit circle can be extended continuously to a univalent logharmonic mapping defined on the unit disk. An analogous result holds also for ring domains. 1.
... W. Hengartner We show that each homeomorphism from the unit circle onto the unit circle can be extended continuously to a univalent logharmonic mapping defined on the unit disk. An analogous result holds also for ring domains. 1.
第 2 頁
(1) Univalent mappings of the form (1) have been studied in [1] and Theorem B can be adapted easily to mappings of the form ... on U. Any nonconstant solution / £ Wlo ' c defined on a domain D of Cwill be called a logharmonic mapping.
(1) Univalent mappings of the form (1) have been studied in [1] and Theorem B can be adapted easily to mappings of the form ... on U. Any nonconstant solution / £ Wlo ' c defined on a domain D of Cwill be called a logharmonic mapping.
第 6 頁
connected Jordan domain of C. Assume that f° is an orientation-preserving homeomorphism of ÖD onto 60 and let f(z) = z|z|*hj be a logharmonic solution of the Dirichlet problem w.r.to f". Then f is univalent on D and f(D) = Q if and only ...
connected Jordan domain of C. Assume that f° is an orientation-preserving homeomorphism of ÖD onto 60 and let f(z) = z|z|*hj be a logharmonic solution of the Dirichlet problem w.r.to f". Then f is univalent on D and f(D) = Q if and only ...
第 11 頁
Z. Abdulhadi and W. Hengartner and J. Szynal, Univalent logharmonic ring mappings, Preprint 1991. 3. D. Bshouty and W. Hengartner, Univalent solutions of the Dirichlet problem for ring domains, Preprint 1991. 4.
Z. Abdulhadi and W. Hengartner and J. Szynal, Univalent logharmonic ring mappings, Preprint 1991. 3. D. Bshouty and W. Hengartner, Univalent solutions of the Dirichlet problem for ring domains, Preprint 1991. 4.
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常見字詞
Amer analytic functions Bergman spaces bounded class of functions close-to-convex completes the proof complex plane convex functions convex sets Corollary defined denote the class Department of Mathematics derivative differential equation domains of univalence entire function euclidean extremal functions Fatou set Fractional Calculus function f(z functions with negative given H. M. Srivastava half-plane Hence holomorphic functions hyperbolic hypergeometric functions implies integral operator Julia set Lemma Little Picard Theorem locally schlicht logharmonic mapping Math meromorphic functions normal Nunokawa obtain p-valently starlike P. T. Mocanu problem Proc proof of Theorem properties radius Re(z real number Remark Rep(z result is sharp Ruscheweyh Saigo sharp for functions spherical linear invariance spherically convex starlike and convex starlike functions strictly increasing subclass Suppose TA(o unit disk Univ univalence for F(K univalent functions zero divisor zero set
書目資訊
| 書名 | Current Topics In Analytic Function Theory |
| 編者 | Shigeyoshi Owa, Hari M Srivastava |
| 出版者 | World Scientific, 1992 |
| ISBN | 9814505692, 9789814505697 |
| 頁數 | 472 頁 |
| 匯出書目資料 | BiBTeX EndNote RefMan |