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 67 筆
第 頁
... Hari M Srivastava. CURRENT TOPICS IN THEORY MUftfflBWAWVW World Scientific -AlO/ih" 110 : FUIMCTI ON Editors a 'a for the case of a multiply-connected domain. Suppose now that. This page is intentionally left blamk This page is Front Cover.
... Hari M Srivastava. CURRENT TOPICS IN THEORY MUftfflBWAWVW World Scientific -AlO/ih" 110 : FUIMCTI ON Editors a 'a for the case of a multiply-connected domain. Suppose now that. This page is intentionally left blamk This page is Front Cover.
第 2 頁
... Suppose now that a solution / of (2) vanishes at z = 0. Since we are interested in univalent solution, we require that / is univalent in a neighbourhood V(0) of the origin. Furthermore, we may assume that / is orientation-preserving on ...
... Suppose now that a solution / of (2) vanishes at z = 0. Since we are interested in univalent solution, we require that / is univalent in a neighbourhood V(0) of the origin. Furthermore, we may assume that / is orientation-preserving on ...
第 3 頁
... suppose that f* is a continuous function defined on dD.We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that ...
... suppose that f* is a continuous function defined on dD.We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that ...
第 6 頁
... Suppose now that there are za e D\Dn such that w = f(za) for infinitely many n. Then there is a subsequence 2n, which converges to a ( e 6D. By continuity, we have w = f(za,) — f(Q) e 60, which is a contradiction. The next result is a ...
... Suppose now that there are za e D\Dn such that w = f(za) for infinitely many n. Then there is a subsequence 2n, which converges to a ( e 6D. By continuity, we have w = f(za,) — f(Q) e 60, which is a contradiction. The next result is a ...
第 7 頁
... suppose that A(21) = X(0) + 27. Then, for given 3 with Re 6 - –1/2, the logharmonic solution of the Dirichlet problem which is of the form (5) is univalent on U. Proof. By Lemma 1, there is only one solution of the form (5) and h is ...
... suppose that A(21) = X(0) + 27. Then, for given 3 with Re 6 - –1/2, the logharmonic solution of the Dirichlet problem which is of the form (5) is univalent on U. Proof. By Lemma 1, there is only one solution of the form (5) and h is ...
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