- Aczél, János. Lectures on functional equations and their applications. Academic Press, 1966.Google Scholar
- Aczél, János.; Dhombres, Jean. Functional equations in several variables. Encyclopedia of Mathematics and its Applications 31, Cambridge University Press, 1989.Google Scholar
- Belitskii, Genrikh Ruvimovich.; Tkachenko, Vadim. One-Dimensional Functional Equations. Operator theory: Advances and Applications 144, Birkhäuser Verlag, 2003.Google Scholar
- Izumi, Hideaki. Analytic Solutions of Iterative Functional Equations. Talk at Formal and Analytic Solutions of Differential and Difference Equations, 2011, Poland. http://www.impan.pl/~fasde/presentations/Izumi.pdfGoogle Scholar
- Izumi, Hideaki. Formal solutions of iterative functional equations. (preprint)Google Scholar
- Izumi, Hideaki. Applications of dimensioned numbers to functional equations. Accepted for publication in ESAIM: Proceedings and Surveys.Google Scholar
- Kneser, Hellmuth. Reelle analytische Lösungen der Gleichung ((x)) = ex und verwandter Funktionalgleichungen. Journal für die reine und angewandte Mathematik 187: 56--67, 1950.Google Scholar
- Kuczma, Marek. Functional equations in a single variable. PWN-Polish Scientific Publishers, 1968.Google Scholar
- Kuczma, Marek.; Choczewski, Bogdan.; Ger, Roman. Iterative Functional Equations. Encyclopedia of Mathematics and its Applications 32, Cambridge University Press, 1990.Google Scholar
- Kuczma, Marek. An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality, 2nd ed. Birkhauser, 2009.Google Scholar
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