Reference : Some aspects of the local theory of generalized Dhombres functional equations in the ...
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26728
Some aspects of the local theory of generalized Dhombres functional equations in the complex domain
English
Tomaschek, Jörg [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2012
ESAIM: Proceedings and Surveys
EDP Sciences
36
1-14
Yes
1270-900X
Les Ulis
France
ESAIM: Proc. European Conference on Iteration Theory
2010
[en] We study the generalized Dhombres functional equation f(zf(z)) = ϕ(f(z)) in the complex domain. The function ϕ is given and we are looking for solutions f with f(0) = w0 and w0 is a primitive root of unity of order l ≥ 2. All formal solutions for this case are described in this work, for the situation where ϕ can be transformed into a function which is linearizable and local analytic in a neighbourhood of zero we also show that we obtain local analytic solutions. We also discuss an example where it is possible to use other methods than we use in the general case.
http://hdl.handle.net/10993/26728
10.1051/proc/201236001

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