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 87 筆
第 頁
... of the Milin ... of 1971 (which implies the Robertson conjecture of 1936, and indeed also the celebrated Bieberbach conjecture of 1916, providing one of the most outstanding coefficient estimates in the theory of the class S of functions f(z) ...
... of the Milin ... of 1971 (which implies the Robertson conjecture of 1936, and indeed also the celebrated Bieberbach conjecture of 1916, providing one of the most outstanding coefficient estimates in the theory of the class S of functions f(z) ...
第 4 頁
... of the form f(z) = z\z\2/1hg; Re fi > —1/2, h,g G H(U) and nonvanishing, g(0) = 1 such that / is equal to a given continuous boundary function f on dU. Lemma 1. Let f* be a nonvanishing continuous complex-valued function defined on dU ...
... of the form f(z) = z\z\2/1hg; Re fi > —1/2, h,g G H(U) and nonvanishing, g(0) = 1 such that / is equal to a given continuous boundary function f on dU. Lemma 1. Let f* be a nonvanishing continuous complex-valued function defined on dU ...
第 9 頁
... of /. In other words, we have shown: Theorem 3. Let /*(e'*) satisfy the conditions (a) and (b) above and let f(z) = z\z\2/3h(z)/h(z) be the logharmonic solution of the Dirichlet problem where Re /9 > —1/2 and 21og h is defined by (6). Then ...
... of /. In other words, we have shown: Theorem 3. Let /*(e'*) satisfy the conditions (a) and (b) above and let f(z) = z\z\2/3h(z)/h(z) be the logharmonic solution of the Dirichlet problem where Re /9 > —1/2 and 21og h is defined by (6). Then ...
第 14 頁
... (f(z)/z) > 1/2 for z e A. Ruscheweyh [8] showed that Kx C Ka whenever X > p > −1. In addition, utilizing (1.1), the family R(o) := {f e A : f * sa e S" (o)} = K1–22, o 31 was investigated in [8] and [12]. A function f e R(o) is called ...
... (f(z)/z) > 1/2 for z e A. Ruscheweyh [8] showed that Kx C Ka whenever X > p > −1. In addition, utilizing (1.1), the family R(o) := {f e A : f * sa e S" (o)} = K1–22, o 31 was investigated in [8] and [12]. A function f e R(o) is called ...
第 17 頁
... f(z) = z –XD BECA)ay 2°. (2.3) k=2 But, in view of the definition of TA(o), we have fe TA(o) + D*fe T"(a), (2.4) and so Lemma 1 follows immediately from Theorem A. Corollary 1. Let f be of the form (1.6), X > −1 and 0 < o 3 1. If fe TA ...
... f(z) = z –XD BECA)ay 2°. (2.3) k=2 But, in view of the definition of TA(o), we have fe TA(o) + D*fe T"(a), (2.4) and so Lemma 1 follows immediately from Theorem A. Corollary 1. Let f be of the form (1.6), X > −1 and 0 < o 3 1. If fe TA ...
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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