Definition:Möbius Transformation/Also known as
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Möbius Transformation: Also known as
Möbius transformations are also known as:
- bilinear functions
- bilinear transformations
- complex bilinear transformations (when on the complex plane)
- fractional linear transformations.
The term bilinear arises from the fact that both the numerator and denominator are linear functions.
Sources
- 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.) ... (previous) ... (next): Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable: $\text {(e)}$ Rational Functions $(7)$
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $2$: Functions, Limits and Continuity: The Elementary Functions: $2$
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Möbius transformation or fractional linear transformation