Reference : Formal solutions of the generalized Dhombres functional equation with value one at zero
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26727
Formal solutions of the generalized Dhombres functional equation with value one at zero
English
Tomaschek, Jörg [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Reich, Ludwig []
Feb-2012
Aequationes Mathematicae
Springer
83
1
117-126
Yes (verified by ORBilu)
0001-9054
1420-8903
Basel
Switzerland
[en] Complex functional equations
[en] We study formal solutions f of the generalized Dhombres functional equation f(zf(z))=φ(f(z)). Unlike in the situation where f(0) = w 0 and w0∈C∖E where E denotes the complex roots of 1, which were already discussed, we investigate solutions f where f(0) = 1. To obtain solutions in this case we use new methods which differ from the already existing ones
http://hdl.handle.net/10993/26727
10.1007/s00010-011-0104-z

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