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A Converse to a Theorem on Linear Fractional Transformations

by Xia Hua (Massachusetts Institute of Technology)

This article originally appeared in:
Mathematics Magazine
December, 2008

Subject classification(s): Analysis | Complex Analysis
Applicable Course(s): 4.19 Complex Variables

It is shown that any bijective function that maps circles and lines onto circles and lines is either a linear fractional transformation, or the complex conjugate of a linear fractional transformation.

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