Master of Science
Clarence A. Shook
An important concept in conformal mapping is the idea of analytic continuation. Reflection in a circle is mapping by reciprocal radii and a mapping that takes a straight line into a circle takes points related by reflection in the line into points related by reflection in the circle.
Deemer, Robert L., "Conformal Mapping" (1963). Theses and Dissertations. 3148.