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. |
搜尋書籍內容
第 1 到 5 筆結果，共 86 筆
第 9 頁
We still may start with logharmonic mappings of the form (5) and proceed as in the proof of Theorem 2. In particular, log h is related to A by (6). Since (7) holds, we conclude that \a\ < 1 on U. Observe also that the proof of the ...
We still may start with logharmonic mappings of the form (5) and proceed as in the proof of Theorem 2. In particular, log h is related to A by (6). Since (7) holds, we conclude that \a\ < 1 on U. Observe also that the proof of the ...
第 18 頁
Proof. Choose o = (1 – A)/2 in Lemma 1. Corollary 3. A function f defined by (1.6) is in R[o., 3), (0 < 0 < 1, ... We now present a theorem which is capable of unifying several known as well as new results including the first five ...
Proof. Choose o = (1 – A)/2 in Lemma 1. Corollary 3. A function f defined by (1.6) is in R[o., 3), (0 < 0 < 1, ... We now present a theorem which is capable of unifying several known as well as new results including the first five ...
第 22 頁
If 0 < by s 1, then the above observation yields the inequality (2.14) which, on using Lemma 1, proves that f * g e TA(o). This completes the proof of Theorem 2. Corollary. Let f and g be as defined in Theorem 2. If f is in T" (o), ...
If 0 < by s 1, then the above observation yields the inequality (2.14) which, on using Lemma 1, proves that f * g e TA(o). This completes the proof of Theorem 2. Corollary. Let f and g be as defined in Theorem 2. If f is in T" (o), ...
第 25 頁
This completes the proof of Theorem 4. The result is sharp for the functions 1 — of 2 sG)=06)==-a-six; Corollaries of Theorem 4. We have the following assertions: 1. f e C(o) => f e T" (2/(3 – oy); 2.
This completes the proof of Theorem 4. The result is sharp for the functions 1 — of 2 sG)=06)==-a-six; Corollaries of Theorem 4. We have the following assertions: 1. f e C(o) => f e T" (2/(3 – oy); 2.
第 26 頁
Proof. Since the operator D* : TA(o) → T. (o) is an isomorphism from TA(o) onto T' (a), it preserves extreme points. In view of (2.3) and Theorem B, it follows that the extreme points of TA(o) are given by (4.1). Corollary 1.
Proof. Since the operator D* : TA(o) → T. (o) is an isomorphism from TA(o) onto T' (a), it preserves extreme points. In view of (2.3) and Theorem B, it follows that the extreme points of TA(o) are given by (4.1). Corollary 1.
讀者評論 - 撰寫評論
我們找不到任何評論。
其他版本 - 查看全部
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 |