Articles

Conformal Mapping of a Gear Domain with One Tooth

Published in: Quaestiones Mathematicae
Volume 33 , issue 3 , 2010 , pages: 277–289

DOI: 10.2989/16073606.2010.507061

Author(s): PhilipR. Brown Department of General Academics, U.S.A.

Keywords: Gear domain , conformal mapping

Abstract

An alternative approach is given for computing the conformal mapping of a unit disc onto a gear domain with one tooth. By means of this new approach an expression for the first coefficient of the Maclaurin series of the mapping can be given in closed form, except for an explicit error term.

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