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https://dspace.uzhnu.edu.ua/jspui/handle/lib/55168| Title: | Continued fraction representation of the generating function of Bernoulli polynomials |
| Authors: | Пагіря, Михайло Михайлович |
| Keywords: | Continued fraction, Bernoulli numbers, Bernoulli polynomials, generating function, continued fraction expansion of function, continued fraction representation of function |
| Issue Date: | 2022 |
| Citation: | Pahirya M. M. Continued fraction representation of the generating function of Bernoulli polynomials / M. M. Pahirya // Journal of Mathematical Sciences. — 2022. — Vol. 262, No. 2. — P. 194-206. |
| 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. |
| Type: | Text |
| Publication type: | Стаття |
| URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/55168 |
| Appears in Collections: | Наукові публікації кафедри твердотільної електроніки з/с інформаційної безпеки |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Continued fraction representation.pdf | 293.21 kB | Adobe PDF | View/Open |
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