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Iterates of Fractional Order
This problem typifies the general one of iteration. Let g(x) be the &th order iterate of g [i.e. g°(x) = x, g(x) = g(g(x))]. The iteration problem is that of attaching a consistent meaning to this expression for fractional k (in the sense of preserving the additive law of exponents). A n / satisfying (1) is thus g(x). By ideas similar to those discussed herein, we can find the most general g an...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1974
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1974-0346352-5