CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS

被引：3

作者：

Kim, Daeyeoul ^{[1
]}

Bayad, Abdelmejid ^{[2
]}

Ikikardes, Nazli Yildiz ^{[3
]}

机构：

[1] Natl Inst Math Sci, Taejon 305811, South Korea

[2] Univ Evry Val dEssonne, Dept Math, F-91037 Evry, France

[3] Balikesir Univ, Necatibey Fac Educ, Dept Elementary Math Educ, TR-10100 Balikesir, Turkey

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 03期

关键词：

Bernoulli polynomials; Euler polynomials; convolution sums; divisor functions; LEGENDRE POLYNOMIALS; CONGRUENCES; THEOREM;

D O I：

10.4134/JKMS.2015.52.3.537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.

引用

页码：537 / 565

页数：29

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