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http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8997
Title: | Representation of a one class function of two variables by bicontinued fractions |
Authors: | Pahirya, M. M. Пагіря, Михайло Михайлович |
Keywords: | continued fractions bicontinued fractions functions of two complex variables representation of functions ланцюговi дроби бiланцюговi дроби функцiї двох комплексних змiнних зоб раження функцiй |
Issue Date: | 2019 |
Abstract: | Let function u(z, w) = f(z)h(w) be defined on the comp. We study the problem of representation of functions of this class by the product of two continued fractions, which is called a bicontinued fraction. Some properties of Thiele reciprocal derivatives, Thiele continued fractions and regular C–fractions are proved. The possibility of representation of functions of this class by bicontinued fractions is shown. Examples are considered, domains of convergence and uniform convergence of obtained bicontinued fractions to the function are indicated. |
Description: | Pahirya M. M. Representation of a one class function of two variables by bicontinued fractions / M. M. Pahirya // International Online Workshop on Approximation Theory. - Math. 27(2), 2019. - Р. 13–27 |
URI: | http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8997 |
Ebben a gyűjteményben: | Статті |
Fájlok a dokumentumban:
Fájl | Leírás | Méret | Formátum | |
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Representation_ of_ a _one _class _function_ of _two _variables _by_ bicontinued_ fractions.pdf | Representation of a one class function of two variables by bicontinued fractions | 1.21 MB | Adobe PDF | Megtekintés/Megnyitás |
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