書誌事項

Complex analysis and its applications

Chung-Chun Yang ... [et al.] (editors)

(Pitman research notes in mathematics series, 305)

Longman Scientific & Technical , John Wiley, 1994

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注記

"This volume presents a collection of contributions to an international conference on complex analysis and its applications which was held at the newly founded Hong Kong University of Science and Technology between 15-17 January 1993"--Pref

内容説明・目次

内容説明

This volume presents a collection of contributions to an international conference on complex analysis and its applications held at the newly founded Hong Kong University of Science and Technology in January 1993. The aim of the conference was to advance the theoretical aspects of complex analysis and to explore the application of its techniques to physical and engineering problems. Three main areas were emphasised: Value distribution theory; Complex dynamical system and geometric function theory; and the Application of complex analysis to differential quations and physical engineering problems.

目次

  • Part 1 Plenary addresses: overdetermined systems of complex second order equations, Heinrich Begehr
  • geometric function theory in one and several complex variables - parallels and problems, Carl H. FitzGerald
  • several Hele Shaw flows associated with injection molding, R.P. Gilbert and Zhenyuan Xu
  • problems and recent results in several comples variables, Yum Tong Siu. Part 2 Value distribution theory: counting functions for meromorphic functions in the Open Unit Disk, T.Y. Chern
  • fix-points of meromorphic functions, F. Gross and C.F. Osgood
  • the number of fix points of composite entire functions and a problem of Baker, Xin-hou Hua
  • the counting function and the minimum modulus of holomorphic mappings with isolated zeros, S. Ji
  • a question of Polya on the zeros of derivatives of real entire functions, Young-One Kim
  • on monomials, Wei Li and Zhan-liang Zhang
  • order of a holomorphic curve wth maximal deficiency sum for moving targets, Seiki Mori
  • on the set where a meromorphic function is large, Daniel F. Shea
  • some remarks on a problem of Frank, Y.F. Wang
  • factorization theory of meromorphic functions of one and several complex variables, Chung-Chun Yang
  • the distribution of values of differential polynomials, X.P. Zhan. Part 3 Complex dynamical systems and geometric function theory: criteria for an analytic function to be Bloch and a harmonic or meromorphic function to be normal, Rauno Aulaskari and Peter Lappan
  • Newton's method for meromorphic functions, Walter Bergweiler, et al
  • generalization of Robertson functions, Ming-Po Chen and Shigeyoshi Owa
  • Kleinian groups, domain of discontinuity, Poincare limits sets, and the theory of computation, C.T. Chong
  • homotopy methods and a generalization of Rouche Theorem, Tangan Gao and Zeke Wang
  • on the size of Julia sets, A. Hinkkanen
  • linear systems ofa class of locally convex spaces, C.-G. Hu
  • on the efficiency of relaxed Newton's method, Hartje Kriete
  • symmetry of contractive inequalities and the gneralized area principle, Kin Y. Ki
  • iteration of complex functions- old and new problems, L.S.O. Liverpool
  • the density theorem and the Poisson integral, John Marafino
  • on the distribution of Julia sets, Jianyong Qiao
  • removable smooth singularities with restricted CR-dimensions, Yeren Xu
  • on Bergman spaces, Bloch space and Ba spaces for Riemann surfaces, Ruhan Zhao
  • a sufficient condition for Carleson measure, Xiaohui Zhong. Part 4 Applications of complex analysis. (Part contents).

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