Zhu, Weiyi; Lu, Lijian; Wu, Guoquan; Fu, Yongjun A hybrid identity between Euler numbers and Bernoulli numbers. (Chinese. English summary) Zbl 1128.11308 J. Guizhou Norm. Univ., Nat. Sci. 23, No. 2, 54-55, 59 (2005). Summary: Using the definitions of \(n\)th order Bernoulli and Euler numbers the authors obtain a hybrid identity for Bernoulli and Euler numbers of the form \[ B_n^{(k)}\left(\frac {k}{2}-\frac {k}{2^{l+1}}\right)=\frac {1}{4^n}\sum_{a=0}^n 2^aC_n^aB_a^{(k)}\left(\frac {k}{2}-\frac {k}{2^l}\right)E_{n-a}^{(k)}. \] MSC: 11B68 Bernoulli and Euler numbers and polynomials Keywords:\(n\)th order Bernoulli numbers; \(n\)th order Euler numbers PDFBibTeX XMLCite \textit{W. Zhu} et al., J. Guizhou Norm. Univ., Nat. Sci. 23, No. 2, 54--55, 59 (2005; Zbl 1128.11308)