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http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8973| Title: | Continued fraction representation of the generating function of Bernoulli polynomials |
| Authors: | Pahirya, Mykhaylo M. Пагіря, Михайло Михайлович |
| Keywords: | Continued fraction Bernoulli numbers Bernoulli polynomials generating function continued fraction expansion of function continued fraction representation of function Неперервний дріб числа Бернуллі поліноми Бернуллі твірна функція продовження дробове розкладання функції представлення функції в неперервному дробі |
| Issue Date: | 2022 |
| 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. |
| 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 |
| URI: | http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8973 |
| Appears in Collections: | Статті |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Continued_ fraction _representation_ of _the _generating _function _of_ Bernoulli_ polynomials.pdf | Continued fraction representation of the generating function of Bernoulli polynomials | 732.74 kB | Adobe PDF | View/Open |
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