Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications Academic Article

abstract

• 2015, Springer-Verlag Berlin Heidelberg. We study conformal mappings from the unit disk (or a rectangle) to one-tooth gear-shaped planar domains from the point of view of the Schwarzian derivative, with emphasis on numerical considerations. Applications are given to evaluation of a singular integral, mapping to the complement of an annular rectangle, and symmetric multitooth domains.

authors

• Brown, Philip

published proceedings

• COMPUTATIONAL METHODS AND FUNCTION THEORY

author list (cited authors)

• Brown, P. R., & Porter, R. M.

citation count

• 3

complete list of authors

• Brown, Philip R||Porter, R Michael

publication date

• June 2016

publisher

• Springer Nature  Publisher

published in

• Computational Methods and Function Theory / Computational Methods and Function Theory - Springer  Journal

keywords

• Accessory Parameter
• Conformal Mapping
• Conformal Modulus
• Gearlike Domain
• Schwarzian Derivative
• Spectral Parameter Power Series
• Sturm-liouville Problem
• Topological Quadrilateral
• Weierstrass Elliptic Function

Digital Object Identifier (DOI)

• 10.1007/s40315-015-0149-4

start page

• 319

end page

• 345

volume

• 16

issue

• 2

URL

• http://dx.doi.org/10.1007/s40315-015-0149-4