Geodesic
An analytic approach to special numbers and polynomials
Journal of integer sequences, Tome 18 (2015) no. 8
The purpose of this article is to present, in a simple way, an analytical approach to special numbers and polynomials. The approach is based on derivative polynomials. The paper is, to some extent, a review article, although it contains some new elements. In particular, it seems that some integral representations for Bernoulli numbers and Bernoulli polynomials are new.
Keywords: Eulerian number, Eulerian polynomial, macmahon number, macmahon polynomial, derivative polynomial, Bernoulli number, Bernoulli polynomial, integral representation 
@article{JIS_2015__18_8_a2,
     author = {Rz\k{a}dkowski,  Grzegorz},
     title = {An analytic approach to special numbers and polynomials},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {8},
     zbl = {1332.11028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a2/}
}
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Rządkowski,  Grzegorz. An analytic approach to special numbers and polynomials. Journal of integer sequences, Tome 18 (2015) no. 8. http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a2/