Once more we consider maps of the form

which are defined and holomorphic throughout some neighborhood of the origin, with a fixed point of multiplier *λ* at the origin. In §§8 and 9 we supposed that |*λ*| ≠ 1, while in §10 we took *λ* to be a root of unity. This section considers the remaining cases where |*λ*| = 1 but *λ* is not a root of unity. Thus we assume that the multiplier *λ* can be written as

Briefly, we will say that the origin is an ** irrationally indifferent** fixed point. The number ξ / is called the

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