Representation of a one class function of two variables by bicontinued fractions

Pahirya, M. M.; Пагіря, Михайло Михайлович

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dc.contributor.author	Pahirya, M. M.
dc.contributor.author	Пагіря, Михайло Михайлович
dc.date.accessioned	2022-06-20T18:31:04Z
dc.date.available	2022-06-20T18:31:04Z
dc.date.issued	2019
dc.identifier.uri	http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8997
dc.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	uk_UA
dc.description.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.	uk_UA
dc.language.iso	other	uk_UA
dc.subject	continued fractions	uk_UA
dc.subject	bicontinued fractions	uk_UA
dc.subject	functions of two complex variables	uk_UA
dc.subject	representation of functions	uk_UA
dc.subject	ланцюговi дроби	uk_UA
dc.subject	бiланцюговi дроби	uk_UA
dc.subject	функцiї двох комплексних змiнних	uk_UA
dc.subject	зоб раження функцiй	uk_UA
dc.title	Representation of a one class function of two variables by bicontinued fractions	uk_UA
dc.type	Article	uk_UA