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A non-embeddable composite of embeddable functions

Published online by Cambridge University Press:  09 April 2009

A. Ran
A. Ran
Affiliation:
Faculty of Mathematics, Technion Israel Institute of Technology, Haifa
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Let Ω be the group of the functions ƒ(z) of the complex variable z, analytic in some neighborhood of z = 0, with ƒ(0) = 0, ƒ′(0) = 1, where the group operation is the composition g[f(z)](g(z), f(z) ∈ Ω). For every function f(z) ∈ Ω there exists [4] a unique formal power series where the coefficients ƒq(s) are polynomials of the complex parameter s, with ƒ1(s) = 1, such that and, for any two complex numbers s and t, the formal law of composition is valid.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1968 , pp. 109 - 113
Copyright
Copyright © Australian Mathematical Society 1968

References

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