AbstractWe consider the linear independence of the values of solutions of certain functional equations in several variables. As an application we obtain a quantitative refinement of a certain result of Bézivin
AbstractGeneral functional equations of the type ∑φi(Ai′t+Bi′u)=Ca(u|t)+Db(t|u)+Pk(t,u) and Σφi(Ci′t...
Abstract In this paper, we introduce a new quadratic functional equation and, motivated by this equa...
Functional equations occur quite frequently in problem contests. Typically they specify certai...
This treatise deals with modern theory of functional equations in several variables and their applic...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
y 1 – x = f (y) + (1 – y)f x 1 – y Basic equation of information theory. Here, x, y, x + y can assum...
12. f (ax, ay) = aβf (x, y). Homogeneity equation. Here, a is an arbitrary number (a ≠ 0) and β is ...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
Presents a comprehensive study of the classical topic of functional equations. This monograph explor...
Abstract. A functional equation related to a problem of linear depen-dence of iterates is considered...
The paper deals with classes of functions of several variables defined on an arbitrary set A and tak...
8. f (x) + g(y) = h(x + y). Pexider’s equation. Here, the functions f (x), g(y), and h(z) are unkno...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
summary:In this work we apply the method of a unique partition of a complex function $f$ of complex ...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
AbstractGeneral functional equations of the type ∑φi(Ai′t+Bi′u)=Ca(u|t)+Db(t|u)+Pk(t,u) and Σφi(Ci′t...
Abstract In this paper, we introduce a new quadratic functional equation and, motivated by this equa...
Functional equations occur quite frequently in problem contests. Typically they specify certai...
This treatise deals with modern theory of functional equations in several variables and their applic...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
y 1 – x = f (y) + (1 – y)f x 1 – y Basic equation of information theory. Here, x, y, x + y can assum...
12. f (ax, ay) = aβf (x, y). Homogeneity equation. Here, a is an arbitrary number (a ≠ 0) and β is ...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
Presents a comprehensive study of the classical topic of functional equations. This monograph explor...
Abstract. A functional equation related to a problem of linear depen-dence of iterates is considered...
The paper deals with classes of functions of several variables defined on an arbitrary set A and tak...
8. f (x) + g(y) = h(x + y). Pexider’s equation. Here, the functions f (x), g(y), and h(z) are unkno...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
summary:In this work we apply the method of a unique partition of a complex function $f$ of complex ...
Abstract We prove algebraic independence of functions satisfying a simple form of algebraic Mahler f...
AbstractGeneral functional equations of the type ∑φi(Ai′t+Bi′u)=Ca(u|t)+Db(t|u)+Pk(t,u) and Σφi(Ci′t...
Abstract In this paper, we introduce a new quadratic functional equation and, motivated by this equa...
Functional equations occur quite frequently in problem contests. Typically they specify certai...
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