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 71 筆
第 頁
PREFACE Encouraged by several important developments in the 1980's, especially those stemming from Louis de Branges's proof of the Milin conjecture of 1971 (which implies the Robertson conjecture of 1936, and indeed also the celebrated ...
PREFACE Encouraged by several important developments in the 1980's, especially those stemming from Louis de Branges's proof of the Milin conjecture of 1971 (which implies the Robertson conjecture of 1936, and indeed also the celebrated ...
第 2 頁
Observe also that (1) implies that F is a solution of the the elliptic non-linear partial differential equation 7i=ay.F z, (2) where the dilatation function a is either E oo or is a meromorphic function on U. Any nonconstant solution ...
Observe also that (1) implies that F is a solution of the the elliptic non-linear partial differential equation 7i=ay.F z, (2) where the dilatation function a is either E oo or is a meromorphic function on U. Any nonconstant solution ...
第 5 頁
Hence, for e* = zo, we conclude that F is at least two-valent in any neighbourhood of £0 which implies that / is at least two-valent in any neighbourhood of z0. The next lemma is purely topological. Lemma 4.
Hence, for e* = zo, we conclude that F is at least two-valent in any neighbourhood of £0 which implies that / is at least two-valent in any neighbourhood of z0. The next lemma is purely topological. Lemma 4.
第 6 頁
Denote by D, the simply-connected domain A(r. 1)\{se"; 0 < s & Co) and let be be the conformal mapping from U onto D. If f is univalent on A(r. 1), then the above argument applied to fo is, (for all t e [0,27)) implies that |a| < 1 on ...
Denote by D, the simply-connected domain A(r. 1)\{se"; 0 < s & Co) and let be be the conformal mapping from U onto D. If f is univalent on A(r. 1), then the above argument applied to fo is, (for all t e [0,27)) implies that |a| < 1 on ...
第 8 頁
... Re{ TT-a )=Re > °' which implies that \a\ < 1 on U. Finally, Theorem 2 follows by applying Theorem 1. Suppose now that /* is not a homeomorphism from dU onto dU but satisfies the following conditions: (a) f(e") = ea(t); (b) d\{t) ...
... Re{ TT-a )=Re > °' which implies that \a\ < 1 on U. Finally, Theorem 2 follows by applying Theorem 1. Suppose now that /* is not a homeomorphism from dU onto dU but satisfies the following conditions: (a) f(e") = ea(t); (b) d\{t) ...
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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 |