Current Topics In Analytic Function TheoryShigeyoshi Owa, Hari M Srivastava World Scientific, 1992年12月31日 - 472 頁 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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第 1 到 5 筆結果,共 54 筆
第 10 頁
... Remark. Observe that (iii) implies Re 6 » -1/2 and that Re 6 depends only on r and R. Our main result of this section is Theorem 4. Let f:(e”) = e^() and f*(re”) = Re"), 0 < R < 1, be a given continuous function on 6A(r. 1), 0 < r < 1 ...
... Remark. Observe that (iii) implies Re 6 » -1/2 and that Re 6 depends only on r and R. Our main result of this section is Theorem 4. Let f:(e”) = e^() and f*(re”) = Re"), 0 < R < 1, be a given continuous function on 6A(r. 1), 0 < r < 1 ...
第 15 頁
... remark that |R1–2a(0) = R(o, o] = R(o) for a 3 1. Following the proof in [1] and using Jack's Lemma [6], one can similarly establish that RA+1(a) C Rx(o) for X > 0, and so it follows that RA(o) C S“(a) for X > 0 and RA(o) C K(0) for A ...
... remark that |R1–2a(0) = R(o, o] = R(o) for a 3 1. Following the proof in [1] and using Jack's Lemma [6], one can similarly establish that RA+1(a) C Rx(o) for X > 0, and so it follows that RA(o) C S“(a) for X > 0 and RA(o) C K(0) for A ...
第 18 頁
... Remark. The coefficient characterizations for the classes To (o) and C(o) may be obtained by letting X = 0 and X = 1, respectively, in Lemma 1. These results were proved in [11]. We now present a theorem which is capable of unifying ...
... Remark. The coefficient characterizations for the classes To (o) and C(o) may be obtained by letting X = 0 and X = 1, respectively, in Lemma 1. These results were proved in [11]. We now present a theorem which is capable of unifying ...
第 21 頁
... Remark. The assertions 1 to 5 above were proved by Silverman (see Theorems 1 to 5 in [9]). For a function f of the form f(z) = z + azz” +...(ze A), it is easy to see that the condition (iii) in Lemma 1 provides only a sufficient ...
... Remark. The assertions 1 to 5 above were proved by Silverman (see Theorems 1 to 5 in [9]). For a function f of the form f(z) = z + azz” +...(ze A), it is easy to see that the condition (iii) in Lemma 1 provides only a sufficient ...
第 25 頁
... Remark. The special cases of Theorem 4, given in the assertions 1 and 2 above were first determined, respectively, in [11] and [12]. 4. Extreme Points and Its Applications The solution to several extremal problems in TA(o) follows ...
... Remark. The special cases of Theorem 4, given in the assertions 1 and 2 above were first determined, respectively, in [11] and [12]. 4. Extreme Points and Its Applications The solution to several extremal problems in TA(o) follows ...
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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