関数の合成の一般化の試み
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概要
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Let f(x)=f_1(x) be an analytic function such that f(0)=0 and f'(0)=1. I define n-times composed functions f_n(x)=f_<n-1>(f(x)) for a natural number n. In this paper, I give generalized composed functions f_n (x) for any complex number n which satisfy the condition f_<n+m>(x)=f_n(f_m(x)) for any complex numbers n and m where their Maclaurin series converge.
- 岐阜工業高等専門学校の論文
- 2000-03-01