Faà di Bruno's formula and nonhyperbolic fixed points of one-dimensional maps
2004 ◽
Vol 2004
(29)
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pp. 1543-1549
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Fixed-point theory of one-dimensional maps ofℝdoes not completely address the issue of nonhyperbolic fixed points. This note generalizes the existing tests to completely classify all such fixed points. To do this, a family of operators are exhibited that are analogous to generalizations of the Schwarzian derivative. In addition, a family of functionsfare exhibited such that the Maclaurin series off(f(x))andxare identical.
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2002 ◽
Vol 30
(10)
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pp. 627-635
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1976 ◽
Vol 66
(2)
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pp. 391-410
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