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Contemporary Topics in Complex Analysis

Complex analysis of one and several variables is one of the most central subjects in mathematics. Important mathematicians associated with complex analysis include names of Euler, Gauss, Riemann, Cauchy, Weiestrass, and many more in the 20th century. It has become very popular through a new boost from complex dynamics and fractals, harmonic and quasiconformal mappings. It is compelling and rich in its own right, but it has innumerable applications in physics, engineering and other areas of mathematics, both pure and applied.

Edited by: Stanislawa Kanas, Aimo Hinkkanen, Toshiyuki Sugawa and Jozef Zajac

  1. Research

    Area distortion under certain classes of quasiconformal mappings

    In this paper we study the hyperbolic and Euclidean area distortion of measurable sets under some classes of K-quasiconformal mappings from the upper half-plane and the unit disk onto themselves, respectively.

    Alfonso Hernández-Montes and Lino F Reséndis O

    Journal of Inequalities and Applications 2017 2017:211

    Published on: 8 September 2017

  2. Research

    Extremal problems related to convexity

    We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ...

    Aimo Hinkkanen and Sineenuch Suwannaphichat

    Journal of Inequalities and Applications 2016 2016:315

    Published on: 1 December 2016

  3. Research

    A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces

    In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual ...

    Jian-Ping Zhang and Yun-Zhang Li

    Journal of Inequalities and Applications 2016 2016:288

    Published on: 18 November 2016