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 32 筆
第 頁
... Closed-to-Convex Functions R. Parvatham and S. Radha The Starlikeness and Spiral-Convexity of Certain Subclasses of Analytic Functions D. Z. Pashkouleva Third-Order Differential Inequalities in the Complex Plane S. Ponnusamy and 0. P ...
... Closed-to-Convex Functions R. Parvatham and S. Radha The Starlikeness and Spiral-Convexity of Certain Subclasses of Analytic Functions D. Z. Pashkouleva Third-Order Differential Inequalities in the Complex Plane S. Ponnusamy and 0. P ...
第 25 頁
... closed-convex family. Using Theorem B (or Lemma 1), we may obtain the extreme points of TA(o). Theorem 5. The extreme points of TA(o), where A > −1 and 0 < 0 < 1, are the functions given by Fi(z) = 2, F.G)=-Ho (k = 2, 3,...), (4.1) ...
... closed-convex family. Using Theorem B (or Lemma 1), we may obtain the extreme points of TA(o). Theorem 5. The extreme points of TA(o), where A > −1 and 0 < 0 < 1, are the functions given by Fi(z) = 2, F.G)=-Ho (k = 2, 3,...), (4.1) ...
第 27 頁
... similar results for C{a). These special cases were given in [7]. Remark 3. In the special case when /? = a, Corollary 2 coincides with the result given in [12]. We remark also that letting A = 1 — 2a for 0 ... convex of order 27 References.
... similar results for C{a). These special cases were given in [7]. Remark 3. In the special case when /? = a, Corollary 2 coincides with the result given in [12]. We remark also that letting A = 1 — 2a for 0 ... convex of order 27 References.
第 29 頁
... closed convex sets such as VR, we are able to solve the constraint problems of the first coefficients of CR and SR for a fixed second coefficient that is close to two. 1. Introduction Let 7i be the topological linear space of all ...
... closed convex sets such as VR, we are able to solve the constraint problems of the first coefficients of CR and SR for a fixed second coefficient that is close to two. 1. Introduction Let 7i be the topological linear space of all ...
第 30 頁
... close-to-convex functions, respectively. Then, for oo g(z) = z + Y^,9nZn n = 2 in Sft, there exists a function oo. q(z). = l. +. ^2qnzn. n=l in V-EC such that. zg'(z). = g(z)q(z). (1.2). Hence the coefficient problem gn in S^ for a fixed ...
... close-to-convex functions, respectively. Then, for oo g(z) = z + Y^,9nZn n = 2 in Sft, there exists a function oo. q(z). = l. +. ^2qnzn. n=l in V-EC such that. zg'(z). = g(z)q(z). (1.2). Hence the coefficient problem gn in S^ for a fixed ...
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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