Continued fraction representation of the generating function of Bernoulli polynomials

Pahirya, Mykhaylo M.; Пагіря, Михайло Михайлович

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dc.contributor.author	Pahirya, Mykhaylo M.
dc.contributor.author	Пагіря, Михайло Михайлович
dc.date.accessioned	2022-05-16T20:17:23Z
dc.date.available	2022-05-16T20:17:23Z
dc.date.issued	2022
dc.identifier.uri	http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8973
dc.description	Pahirya М. М. Continued fraction representation of the generating function of Bernoulli polynomials / Mykhaylo M. Pahirya // Journal of Mathematical Sciences. - Vol. 262, No. 2, April, 2022. - Р. 194-206	uk_UA
dc.description.abstract	Continued fraction and quasi-reciprocal continued fraction expansions of the generating function of Bernoulli numbers have been obtained. The convergence and uniform convergence of continued fraction expansions have been proved. Representations of the generating function of Bernoulli polynomials in the form of the product of three continued fractions, as well as the product of three quasi-reciprocal continued fractions, have been found.	uk_UA
dc.language.iso	other	uk_UA
dc.subject	Continued fraction	uk_UA
dc.subject	Bernoulli numbers	uk_UA
dc.subject	Bernoulli polynomials	uk_UA
dc.subject	generating function	uk_UA
dc.subject	continued fraction expansion of function	uk_UA
dc.subject	continued fraction representation of function	uk_UA
dc.subject	Неперервний дріб	uk_UA
dc.subject	числа Бернуллі	uk_UA
dc.subject	поліноми Бернуллі	uk_UA
dc.subject	твірна функція	uk_UA
dc.subject	продовження дробове розкладання функції	uk_UA
dc.subject	представлення функції в неперервному дробі	uk_UA
dc.title	Continued fraction representation of the generating function of Bernoulli polynomials	uk_UA
dc.type	Article	uk_UA