Continued fraction representation of the generating function of Bernoulli polynomials

被引：1

作者：

Pahirya M.M. ^{[1
]}

机构：

[1] Uzhhorod National University, Uzhhorod

来源：

Journal of Mathematical Sciences | 2022年 / 262卷 / 2期

关键词：

Bernoulli numbers; Bernoulli polynomials; Continued fraction; continued fraction expansion of function; continued fraction representation of function; generating function;

D O I：

10.1007/s10958-022-05810-2

中图分类号：

学科分类号：

摘要：

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. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：194 / 206

页数：12

共 15 条

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