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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
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