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 29 筆
第 13 頁
In particular, the extremal function sa(z) = z/(l-zf- 2a eS*(a) (1.1) plays an important role in extremal problems for S*(a). The functions is S*(a) and K(a) are called, respectively, ...
In particular, the extremal function sa(z) = z/(l-zf- 2a eS*(a) (1.1) plays an important role in extremal problems for S*(a). The functions is S*(a) and K(a) are called, respectively, ...
第 25 頁
The result is sharp for the functions 1 — of 2 sG)=06)==-a-six; Corollaries of Theorem 4. ... Extreme Points and Its Applications The solution to several extremal problems in TA(o) follows easily from the extreme points of this class.
The result is sharp for the functions 1 — of 2 sG)=06)==-a-six; Corollaries of Theorem 4. ... Extreme Points and Its Applications The solution to several extremal problems in TA(o) follows easily from the extreme points of this class.
第 27 頁
The result is sharp, with the extremal function F2 given by (4.2). Proof. Let r —▻ 1— in Corollary 3. Remark 2. For A = 0, Theorem 5 and Corollaries 3 and 4 above give the corresponding results for ...
The result is sharp, with the extremal function F2 given by (4.2). Proof. Let r —▻ 1— in Corollary 3. Remark 2. For A = 0, Theorem 5 and Corollaries 3 and 4 above give the corresponding results for ...
第 30 頁
Let <S^ and CR be the subclass of WR of normalized univalent starlike and close-to-convex functions, respectively. ... This problem is feasible due to the fact that it admits an extremal function that is a linear combination of n ...
Let <S^ and CR be the subclass of WR of normalized univalent starlike and close-to-convex functions, respectively. ... This problem is feasible due to the fact that it admits an extremal function that is a linear combination of n ...
第 31 頁
Therefore, an extremal function for this functional has the form r(z) = Ap,(2) + (1 – A)p(z), 0 < As 1 and As + (1 – A)t = y , where p, and p, are defined in (1.1). Hence, we ought to maximize wr, 4 r8 = X(s” + ws” – 3s – 2w) + (1 ...
Therefore, an extremal function for this functional has the form r(z) = Ap,(2) + (1 – A)p(z), 0 < As 1 and As + (1 – A)t = y , where p, and p, are defined in (1.1). Hence, we ought to maximize wr, 4 r8 = X(s” + ws” – 3s – 2w) + (1 ...
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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 |