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Zbl 1209.11025
Bayad, Abdelmejid; Kim, Taekyun
Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.
(English)
[J] Adv. Stud. Contemp. Math., Kyungshang 20, No. 2, 247-253 (2010). ISSN 1229-3067

The authors prove identities with Bernoulli, Euler and Genocchi numbers and polynomials. For example: $$\sum_{l=0}^{d-1}(-1)^{l-1}B_{n+1}\left(\frac{l}{d}\right)=\frac{1}{2d^{n+1}}\sum_{j=0}^{n+1}\binom{n+1}{j}d^j\left((-1)^dB_j(1)-B_j(0)\right)E_{n+1-j}(0),$$ for $d\geq 1$, $n\geq 0$.
[Florin Nicolae (Berlin)]
MSC 2000:
*11B68 Bernoulli numbers, etc.

Keywords: Bernoulli numbers and polynomials; Euler numbers and polynomials; Genocchi numbers and polynomials; identities

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