A New Formula for the Bernoulli Polynomials

被引：86
|
作者：
Mezo, Istvan [1 ]
机构：
[1] Univ Debrecen, Fac Informat, Dept Appl Math & Probabil Theory, H-4010 Debrecen, Hungary
来源：
RESULTS IN MATHEMATICS | 2010年 / 58卷 / 3-4期
关键词：
Stirling numbers; r-Stirling numbers; Whitney numbers; Bernoulli polynomials; Harmonic numbers; Stirling-type pairs; Hyperharmonic numbers; Harmonic polynomials; STIRLING NUMBERS;
D O I：
10.1007/s00025-010-0039-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we show that a seemingly new class of Stirling-type pairs can be applied to produce a new representation of the Bernoulli polynomials at positive rational arguments. A class of generalized harmonic numbers is also investigated, and we point out that these give a new relation for the so-called harmonic polynomials.
引用
收藏
页码：329 / 335
页数：7
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