Table of Contents
Journal of Complex Analysis
Volume 2016, Article ID 4367205, 8 pages
Research Article

Approximate Conformal Mappings and Elasticity Theory

Kazan Federal University, 18 Kremlyovskaya Str., Kazan 420008, Russia

Received 4 June 2016; Revised 25 July 2016; Accepted 3 August 2016

Academic Editor: Vladislav Kravchenko

Copyright © 2016 Pyotr N. Ivanshin and Elena A. Shirokova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Here, we present the new method of approximate conformal mapping of the unit disk to a one-connected domain with smooth boundary without auxiliary constructions and iterations. The mapping function is a Taylor polynomial. The method is applicable to elasticity problems solution.