Un analogue des fonctions automorphes : les fonctions résurgentes
Un puente entre una ecuación diferencial ordinaria y un sistema dinámico discreto vía ecuaciones diferenciales con retardo.
Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.
In this paper we consider the Aleksandrov equation f(L + x) = f(L) + f(x) where L is contained in Rn and f: L --> R and we describe the class of solutions bounded from below, with zeros and assuming on the boundary of the set of zeros only values multiple of a fixed a > 0. This class is the natural generalization of that described by Aleksandrov itself in the one-dimensional case.
Unbounded regions of infinitely logconcave sequences.
Une caractérisation des fonctions exponentielles avec les exposants non linéaires
Une famille de distributions : des paretiennes aux «contra-paretiennes». Applications à l'étude de la concentration urbaine et de son évolution
Ce texte est consacré à une famille de distributions statistiques — qui comprend les distributions de V. Pareto, celles du type exponentiel et celles que l'on appellera ici «contra-paretiennes» (ou «anti-paretiennes») — dont l'unité tient à ce qu'elles vérifient toutes une même relation fonctionnelle. Celle-ci est d'ailleurs interprétable en termes d'inégalité des distributions ; elle fournit en outre une méthode simple et efficace d'ajustement des distributions de la famille à des «données» observées....
Une généralisation d'un résultat de J. Aczél et M.Hosszú sur l'équation de translation.
Uniqueness of regular similarity functions
Uniqueness theorems for the representation ...(f(x)g(y) + h(y)).
Upper bounds on certain functionals defined on groups of linear operators.
Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.
Verallgemeinerte Cauchy-Funktionalgleichungen.
Verallgemeinerte Cauchy-Funktionalgleichungen. (Short Communication).
Verallgemeinerte Schroedergleichung und Prä-Schroedergleichungen
Weighted additive information measures.
Weighted entropies
We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree α, including the Shannon entropy as the case α = 1. Such “weighted” entropies have potential applications to the “utility of gambling” problem.
Weighted power mean discrete dynamical systems: fast convergence properties.
When Lagrangean and quasi-arithmetic means coincide.
Why Means in Two Arguments are Special.
Why -additive (fuzzy) measures?
The paper is concerned with generalized (i. e. monotone and possibly non-additive) measures. A discussion concerning the classification of these measures, according to the type and amount of non-additivity, is done. It is proved that -additive measures appear naturally as solutions of functional equations generated by the idea of (possible) non additivity.