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Parabolic Fixed Point


A parabolic fixed point is the unique fixed point in the projectively extended real numbers of a nonidentity linear fractional transformation lambda|->(alphalambda+beta)/(gammalambda+delta) with real coefficients and alphadelta-betagamma>0 for which

 (delta-alpha)^2+4betagamma=0.

See also

Elliptic Fixed Point, Hyperbolic Fixed Point, Linear Transformation

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Cite this as:

Weisstein, Eric W. "Parabolic Fixed Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ParabolicFixedPoint.html

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