Abstract
In this note it is proved that: the functional equation(1) f(f(z)) = g(z),where g{z) is an entire function of finite order, which is not a polynomial, and which takes on a certain value p only a finite number of times, does not have a solution f(z) which is an entire function.
Publisher
Canadian Mathematical Society
Cited by
9 articles.
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1. Finding a Compositional Square Root of Sine;The American Mathematical Monthly;2022-08-18
2. On Interpolation of Some Recurrent Sequences;Computational Mathematics and Mathematical Physics;2021-06
3. On intrpolation of some recurrent sequences;Keldysh Institute Preprints;2020
4. Bibliography;North-Holland Mathematics Studies;2008
5. On the entire solutions of the functional equation f(f(z))=F(z);Archiv der Mathematik;1975-12