Analytic solutions of polynomial-like iterative functional equations with variable coefficients are discussed in the complex field ℂ by reducing to an auxiliary equation and by applying known results for systems of nonlinear functional equations of finite orders.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-1, author = {Bing Xu}, title = {Analytic solutions for polynomial-like iterative equations with variable coefficients}, journal = {Annales Polonici Mathematici}, volume = {83}, year = {2004}, pages = {193-200}, zbl = {1101.39008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-1} }
Bing Xu. Analytic solutions for polynomial-like iterative equations with variable coefficients. Annales Polonici Mathematici, Tome 83 (2004) pp. 193-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-1/