Several explicit formulae for Bernoulli polynomials
Komatsu, Takao ; Ruiz V., Claudio de J. Pita
Mathematical Communications, Tome 21 (2016) no. 1, p. 127-140 / Harvested from Mathematical Communications
Text on Mathematical Communications
We prove several explicit formulae for the $n$-th Bernoulli polynomial $B_{n}(x)$, in which $B_{n}(x)$ is equal to an affine combination of the polynomials $(x-1)^{n}$, $(x-2)^{n}$, $\ldots$, $(x-k-1)^{n}$, where $k$ is any fixed positive integer greater or equal than $n$.
Publié le : 2016-03-09
Classification:  Bernoulli polynomials; binomial coefficients; Bernoulli numbers,  11B68, 05A10, 05A15 
@article{mc1476,
     author = {Komatsu, Takao and Ruiz V., Claudio de J. Pita},
     title = {Several explicit formulae for Bernoulli polynomials},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 127-140},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1476}
}

Komatsu, Takao; Ruiz V., Claudio de J. Pita. Several explicit formulae for Bernoulli polynomials. Mathematical Communications, Tome 21 (2016) no. 1, pp.  127-140. http://gdmltest.u-ga.fr/item/mc1476/