Reference : On the characterization of generalized Dhombres equations having non constant local a...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/9877
On the characterization of generalized Dhombres equations having non constant local analytic or formal solutions
English
Reich, Ludwig mailto [Karl-Franzens-Universität (Graz) > Institute for Mathematics and Scientific Computations]
Tomaschek, Jörg mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
5-Nov-2013
Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Computatorica
Eötvös Loránd University
41
281-294
Yes
International
0138-9491
Budapest
Hungary
[en] Dhombres functional equation ; formal power series
[en] We discuss solvability conditions of the generalized Dhombres functional equation in the complex domain. Our focus lies on the so-called 'infinity' case, but also the $z_0$--case is investigated. That means that we consider solutions of a generalized Dhombres equation with initial value $f(\infty)=w_0$, $w_0 \neq 0$, or $f(\infty)=\infty$, or $f(z_0)=1$ for $z_0 \neq 0, \infty$.
For both situations we give a characterization of the generalized Dhombres equations which are
solvable.
Mathematics Research Unit
Researchers
http://hdl.handle.net/10993/9877
http://ac.inf.elte.hu/Vol_041_2013/281_41.pdf

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