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Cauchy type functional equations related to some associative rational functions

100%

Domańska K.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2019

tom 18

145-156

L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.

Equivalence of analytic and rational functions

100%

Bochnak J., Buchner M., Kucharz W.

Annales Polonici Mathematici

1997

tom 66

nr 1

37-42

We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.

Diagonal series of rational functions (several variables)

88%

Cynk S., Tworzewski P.

Annales Polonici Mathematici

1994

tom 59

nr 1

77-83

We give representations of Nash functions in a neighbourhood of a polydisc (torus) in $ℂ^m$ as diagonal series of rational functions in a neighbourhood of a polydisc (torus) in $ℂ^{m+1}$.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Bochnak J.

1 Buchner M.

1 Cynk S.

1 Domańska K.

1 Kucharz W.

1 Tworzewski P.

1 2019

1 1997

1 1994

Wyniki wyszukiwania

Cauchy type functional equations related to some associative rational functions

Equivalence of analytic and rational functions

Diagonal series of rational functions (several variables)