Faà di Bruno's formula and nonhyperbolic fixed points of one-dimensional maps
نویسنده
چکیده
Fixed-point theory of one-dimensional maps of R does not completely address the issue of non-hyperbolic fixed points. This paper 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 functions f are exhibited such that the MacLaurin series of f(f(x)) and x are identical. 2000MSC: 37E05, 26A18, 39B12, 26A30
منابع مشابه
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004