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  1. Research

    The Riemann mapping theorem from Riemann’s viewpoint

    This article presents a rigorous proof of the Riemann mapping theorem via Riemann’s method, uncompromised by any appeals to topological intuition.

    Robert E. Greene and Kang-Tae Kim

    Complex Analysis and its Synergies 2017 3:1

    Published on: 16 January 2017

  2. Research

    A type of Volterra operator

    In Diamantopoulos and Siskakis (Studia Math 140:191–198, 2000), the authors study the action of the classical Cesaro matrix C on the Taylor coefficients of analytic functions on the Hardy spaces

    Joseph A. Cima

    Complex Analysis and its Synergies 2016 2:3

    Published on: 16 September 2016

  3. Research

    Stream lines, quasilines and holomorphic motions

    We give a new application of the theory of holomorphic motions to study the distortion of level lines of harmonic functions and stream lines of ideal planar fluid flow. In various settings, we show they are in...

    Gaven J. Martin

    Complex Analysis and its Synergies 2015 1:5

    Published on: 15 September 2015

  4. Research

    Adaptive trains for attracting sequences of holomorphic automorphisms

    Consider a holomorphic automorphism acting hyperbolically on an invariant compact set. It has been conjectured that the arising stable manifolds are all biholomorphic to Euclidean space. Such a stable manifold...

    Han Peters and Iris Marjan Smit

    Complex Analysis and its Synergies 2015 1:3

    Published on: 12 August 2015

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