On an Algebra Endomorphism Induced by a Space Map
On application of symmetrical functions of several variables to solving some functional equations
In this work we apply the method of a unique partition of a complex function of complex variables into symmetrical functions to solving a certain type of functional equations.
On Cauchy-type functional equations.
On Costas sets and Costas clouds.
On generalized d'Alembert functional equation.
Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equationD(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G;where f: G → C to be determined is a measurable and essentially bounded function.
On generalized hyperbolic functions and their characterization by functional equations.
On the continuous dependence of local analytic solutions of the functional equation in the non-uniqueness case
On the continuous solutions of the Golab-Schinzel equation.
On the second part of Hilbert's fifth problem.
On the stability of a new Pexider-type functional equation.
On the stability of generalized d'Alembert and Jensen functional equations.
On the stabiltiy of a system of functional equations characterizing generalize hyperbolic and trigonometric functions.
On the superstability of the cosine and sine type functional equations
In this paper, we study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) and f(xσ(y)a)−f(xya)=2f(x)f(y), where f : S → ℂ is a complex valued function; S is a semigroup; σ is an involution of S and a is a fixed element in the center of S.
On trigonometric functional equations of rectangular type.
On two functional equations connected with the characterizations of the distance measures.
On two new functional equations for generalized Joukowski transformations
The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .
Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions.
Récurrences - et -mahlériennes
On sait (Cobham) qu’une suite - et -automatique est une suite rationnelle. Une question de Loxton et van der Poorten étend ce résultat au cas - et -régulier. On montre dans cet article que, si une suite vérifie une récurrence - et -mahlérienne d’ordre un, elle est rationnelle.
Solution générale d'une classe d'équations fonctionnelles cycliques linéaires et non homogènes