Current Topics In Analytic Function TheoryShigeyoshi Owa, Hari M Srivastava World Scientific, 1992¦~12¤ë31¤é - 472 ¶ 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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... unit disk U or the annulus A(r, 1), rG (0,1) and 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 ...
... unit disk U or the annulus A(r, 1), rG (0,1) and 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 ...
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... unit disk U or the annulus A(r. 1) = {z; r < |z| < 1}, re (0,1), and let Q be a simply (doubly resp.) connected Jordan domain of C. Assume that f¢X is an orientation-preserving homeomorphism of ÖD onto 60 and let f(z) = z|z|*hj be a ...
... unit disk U or the annulus A(r. 1) = {z; r < |z| < 1}, re (0,1), and let Q be a simply (doubly resp.) connected Jordan domain of C. Assume that f¢X is an orientation-preserving homeomorphism of ÖD onto 60 and let f(z) = z|z|*hj be a ...
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... Disk Mappings In this section we consider the logharmonic solution of the Dirichlet problem of the unit disk. Let f(z) = z|z|*hy be a logharmonic mapping from U onto U and continuous on U. Then f(e") = e¡¨h(e¡¨)g(e") is well defined and ...
... Disk Mappings In this section we consider the logharmonic solution of the Dirichlet problem of the unit disk. Let f(z) = z|z|*hy be a logharmonic mapping from U onto U and continuous on U. Then f(e") = e¡¨h(e¡¨)g(e") is well defined and ...
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... unit disk A = {z : \z\ < 1}. Let S denote the subclass of functions in A that are univalent in A. For a, a < 1, let S*(a) = {/ £á A : Re(zf'(z)/f(z)) > a, z g A}, and K(a) = {/ £á A : Re(l + zf"(z)/f'(z)) > a, z £á A}. In particular, the ...
... unit disk A = {z : \z\ < 1}. Let S denote the subclass of functions in A that are univalent in A. For a, a < 1, let S*(a) = {/ £á A : Re(zf'(z)/f(z)) > a, z g A}, and K(a) = {/ £á A : Re(l + zf"(z)/f'(z)) > a, z £á A}. In particular, the ...
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... unit disk A is mapped under any function f £ T\{a)onto a domain that contains the disk l + A(2-q) H. -(2-«)(A+ir. The result is sharp, with the extremal function F2 given by (4.2). Proof. Let r ¡X▻ 1¡X in Corollary 3. Remark 2. For A = 0 ...
... unit disk A is mapped under any function f £ T\{a)onto a domain that contains the disk l + A(2-q) H. -(2-«)(A+ir. The result is sharp, with the extremal function F2 given by (4.2). Proof. Let r ¡X▻ 1¡X in Corollary 3. Remark 2. For A = 0 ...
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