A few remarks on automorphic functions.
A functional equation involving f and .
A general class of iterative equations on the unit circle
A class of functional equations with nonlinear iterates is discussed on the unit circle . By lifting maps on and maps on the torus to Euclidean spaces and extending their restrictions to a compact interval or cube, we prove existence, uniqueness and stability for their continuous solutions.
A Generalization of the Notion of Reproductivity
A limit formula for regular iteration groups.
A limit formula for regular iteration groups. (Summary).
A model of competition
A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number....
A new characterization of Euler's gamma function by a functional equation.
A new characterization of Euler's gamma function by a functional equation.
A new functional equation characterizing generalized Joukowski transformations.
A note on a multivalued iterative equation.
A note on iteration groups.
A note on the parameters of rational iteration groups.
A remark on generalized iterates.
A solution of an open problem concerning Lagrangian mean-type mappings
The problem of invariance of the geometric mean in the class of Lagrangian means was considered in [Głazowska D., Matkowski J., An invariance of geometric mean with respect to Lagrangian means, J. Math. Anal. Appl., 2007, 331(2), 1187–1199], where some necessary conditions for the generators of Lagrangian means have been established. The question if all necessary conditions are also sufficient remained open. In this paper we solve this problem.
Abel's equation and regular growth: Variations on a theme by Abel.
Algebraic and essentially algebraic composition operators on C(X).
Almost iterable functions.
An analytic representation for selfmaps of a countably infinite set and its cycles. (Short Communication).
An analytic representation for selfmaps of a countably infinite set and its cycles.